Umd math 241 - MATH 241 (Sec. 03xx): CALCULUS III Department of Mathematics, UMCP Fall 2017 Exam 1 Handed out to class: Monday, 09/25/17 READ CAREFULLY AND WORK ON ALL PROBLEMS. Justify your answers. Show all your steps. Cross out what is not part of your nal answer. NO calculators or textbooks or notes are allowed. Total regular time: 50min. 1.

 
 Fall 2012 - Math 241 Calculus III - An introduction to multivariable calculus Lectures: MWF 11:00am-11:50am (ARM 0126) Instructor: Prof. A. Mellet O ce: Math Building 3314 Email: mellet@math.umd.edu Course web page: Lectures schedule, recommended homeworks, matlab assignments and other important in- . Allen and roth closet tower

Math 241 Sections 01** Exam 2 Solutions. 1. (a) Use the gradient to find a vector perpendicular to the graph of the curve y = x3 + x − 2 at [10 pts] the point where x = 2. …Introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss.An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. math 241 -- calculus iii An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. The lecturer in these sections of MATH 241 is Professor Jonathan Rosenberg . His office is in room 2114 of the Mathematics Building, and his university phone extension is 55166. (Calling from outside the university, call 301-405-5166.) He will generally hold office hours Mondays and Wednesdays 10:00-11:00, or by appointment.math 141 -- calculus ii This course is a continuation of Math 140. Topics include techniques of integration, improper integrals, applications of integration (such as volumes, work, arc length, moments), inverse functions, exponential … Math 241 Exam 1 Fall 2019 Solutions Justin Wyss-Gallifent 1.(a)Given the two vectors [10 pts] a = 2i+ 5j+ 0k and b = 1i+ 0j 2k Find the cosine of the angle between them. An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. All sections of the course will use the software ...Whatever you choose to use, be consistent. I will use horizontal vectors in this guide because that's how we think of them in Math 241. As a vertical vector we use semicolons to separate rows: u=[2;3;7] u = 2 3 7 As a horizontal vector (like I'll do) we use spaces or commas. I'll use spaces out of habit. u=[2 3 7][email protected]. Give a brief summary of your mathematics background and reasons why you think the Math 340-341 is appropriate for you. The topics listed for Math 240, 241 and 246 are covered in Math 340-341, in greater depth. In addition there is supplementary material from differential geometry, Fourier series and calculus of ...MATH 241, Sec. 03xx: CALCULUS III (An Introduction to Multivariable Calculus) Department of Mathematics, UMCP Fall 2017 Handout 1: SYLLABUS AND POLICIES Date: Monday, 08/28/17It was a confident, high-powered investment firm with credit lines at top financial institutions. It made big bets using borrowed money to buy assets and generate higher returns. B...MATH 241, Spring 2014: Calculus III Vector field (F 1,F 2) with third curl component F 2x-F 1y shown by color: blue means clockwise, red means counterclockwise ... name@math means [email protected] Recommended Problems from the Textbook MATH 241 Resources. MATH241 Tutoring has started, see schedule. MATH 241 Sections 03** Exam 3 Exam Submission: 1.Submit this exam to Gradescope. 2.Tag your problems! 3.You may print the exam, write on it, scan and upload. 4.Or you may just write on it on a tablet and upload. 5.Or you are welcome to write the answers on a separate piece of paper if other options don’t appeal to you, then scan and upload ... Math 241: Practice Problems for Exam 1 1. ConsiderthepointsP = (1;1;2),Q = (2;1;1),R = (1;2;1) (a) FindthesymmetricequationsofthelinethroughthepointsP andQ.MATH 241 Sections 03** Exam 3 Spring 2021 Exam Submission: 1.Submit this exam to Gradescope. 2.Tag your problems! 3.You may print the exam, write on it, scan and upload. 4.Or you may just write on it on a tablet and upload. 5.Or you are welcome to write the answers on a separate piece of paper if other options don’t appeal to you, then scan ...MATH 241 Sections 03** Exam 3 Spring 2021 Exam Submission: 1.Submit this exam to Gradescope. 2.Tag your problems! 3.You may print the exam, write on it, scan and upload. 4.Or you may just write on it on a tablet and upload. 5.Or you are welcome to write the answers on a separate piece of paper if other options don’t appeal to you, then scan ... Math 241 Fall 2017 Final Exam Solutions 1. (a) Find the cosine of the angle between the vectors a= 2i−1j+3kand b= 0i+4j+2k. [5 pts] Simplify your answer as much as possible. Dr. Justin Wyss-Gallifent. Principal Lecturer. 2236 Iribe. Notes and Resources for Various Classes I've Taught: MATH115 Precalculus I haven't taught this course in maybe eight years but when I did, I typed up detailed notes. I can't vouch for the section numbers and I can't promise that MATH115 hasn't changed a bit, but I figured these notes ...MATH241 Guide/Project 3 As with the second project you’ll need to create an m- le, publish it, and turn in the resulting document. Check the second project directions if you’ve forgottenThe university announced today a big gift to the Math Department. The very generous gift of $27.2M was made by Michael & Eugenia Brin. The gift will endow the Brin Mathematics Research Center, establish an endowed chair, and launch a summer camp for high school students. ... JHU-UMD Algebra and Number Theory Day April 27, 2024. Brin MRC ...Math 241 Exam 2 Fall 2018 Justin Wyss-Gallifent Directions: Do not simplify unless indicated. No calculators are permitted. Show all work as appro-priate for the methods taught in this course. Partial credit will be given for any work, words or ideas which are relevant to the problem. Please put problem 1 on answer sheet 1 1.Tangential and normal components of acceleration; curvature of a curveMath 241 Spring 2019 Final Exam Be sure your name, section number and problem number are on each answer sheet and that you have copied and signed the honor pledge on the rst answer sheet. Follow the instructions as to which problem goes on … Dr. Justin Wyss-Gallifent. Principal Lecturer. 2236 Iribe. MATH115 Precalculus I haven't taught this course in maybe eight years but when I did, I typed up detailed notes. I can't vouch for the section numbers and I can't promise that MATH115 hasn't changed a bit, but I figured these notes might be useful to someone. MATH 241, Spring 2014: Calculus III Vector field (F 1,F 2) with third curl component F 2x-F 1y shown by color: blue means clockwise, red means counterclockwise ... name@math means [email protected] Recommended Problems from the Textbook MATH 241 Resources. MATH241 Tutoring has started, see schedule.An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. All sections of the course will use the software ...Virtually all engineering undergraduates at UMCP move through the freshman-sophomore level of the mathematics major -- MATH 140, 141, 241, 246, 240 (often with a comparable linear algebra course, such as MATH 461, in place of 240).MATH 241: CALCULUS III (An Introduction to Multivariable Calculus)--Section 03xx Fall 2017 Instructor: Dionisios Margetis LARGE LECTURES: MWF, 11:00am -- 11:50am; Room: ARM 0126 Instructor's office hours: Mon & Wed, 12:00pm -- 12:50pm (after lecture); or by appointment. Regular office hours will start on Wed Sept. 6 The Mathematics Department offers drop-in tutoring in Room 0301 of the Math Building. Note the many hours on the Drop-In Tutoring Schedule at which Math 241 TAs are available this semester Usually, it is better for you to make use of the many free opportunities for help, rather than pay someone not currently affiliated with the course ... Umd Math 241 An Invitation to 3-D Vision Yi Ma 2012-11-06 This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for studying the geometry ofMATH 241 Calculus III Spring 2023 Groupwork 4: Sections 13.1-13.4 You should work on and discuss this worksheet with members of your group. Your TA will assist as needed. Turn in your solutions either on this sheet or a separate sheet of paper. Be sure to include your name! 1.For the surface f(x;y) = x2 y, sketch in one graph the level curves ...MATH 241 Sections 03** Exam 3 Spring 2021 Exam Submission: 1.Submit this exam to Gradescope. 2.Tag your problems! 3.You may print the exam, write on it, scan and upload. 4.Or you may just write on it on a tablet and upload. 5.Or you are welcome to write the answers on a separate piece of paper if other options don’t appeal to you, then scan ...UNIVERSITY OF MARYLAND, COLLEGE PARK UNIVERSITY OF MARYLAND, COLLEGE PARK General Information for Tim Pilachowski’s sections TEXT: Calculus, by R. Ellis and D. Gulick (Cengage Learning, ISBN: 9781133436751) [New Custom Edition as of Fall 2011 but you can still use the 6th Edition (Thomson Publishing. ISBN: 9780759313798) for Math 241/241H]Math 140, Math 141 and permission of the department. Incoming students can request permission to register for Math 340 by sending an e-mail to . Topics. The topics listed for Math 240, 241 and 246 are covered in Math 340-341, in greater depth. In addition there is supplementary material from differential geometry, Fourier series and calculus of ...Math 241 Spring 2015 Final Exam. Be sure your name, section number and problem number are on each answer sheet and that you have copied and signed the honor pledge on the first answer sheet. Follow the instructions as to which problem goes on which answer sheet. You may use the back of the answer sheets but if you do so, please write “See ...His office is in room 2114 of the Mathematics Building, and his university phone extension is 55166. (Calling from outside the university, call 301-405-5166.) He will generally hold office hours Mondays and Wednesdays 10:00-11:00, or by appointment.MATH 241 (Calculus III) DESCRIPTION An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss.Tangential and normal components of acceleration; curvature of a curveAn introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. All sections of the course will use the software ...Exam Submission: From the moment you download this exam you have three hours to take the exam and submit to Gradescope. This includes the entire upload and tag pro-cedure so do not wait until the last minute. Tag your problems! Please! You may print the exam, write on it, scan and upload.In mathematics, inequalities are a set of five symbols used to demonstrate instances where one value is not the same as another value. The five symbols are described as “not equal ...Take the plane equation and solve for one of the variables. Pick the range of the other two variables you want. Usually doing -5 to 5 or so for both of them is good. Do ezmesh (x,y,z, [-5,5,-5,5]) where the variable you solved for replaces its …MATH 241 (Sec. 03xx): CALCULUS III Department of Mathematics, UMCP Fall 2017 Exam 1 Handed out to class: Monday, 09/25/17 READ CAREFULLY AND WORK ON ALL PROBLEMS. Justify your answers. Show all your steps. Cross out what is not part of your nal answer. NO calculators or textbooks or notes are allowed. Total regular time: 50min. 1. det(A) Example: volume of parallelepiped a = [1,2,3]; b = [1,-2,1]; c = [2,4,1]; det ( [a;b;c]) % method 1 using determinant dot (cross (a,b),c) % method 2 using dot and cross product. make new matrix by putting vectors or matrices side by side. X = [x1, x2, x3] ( x1, x2, x3 must have the same number of rows) Her exams are fair IMO. 8. Reply. Share. Fair-Flan6792. • 4 mo. ago. If you are a CS major, you need one post Calc 2 course for a math elective. A few of the CS concentrations require Linear Algebra. 241 is not required unless you end up getting a math minor. Take Math 240.Textbook List. The textbooks below are always or sometimes used in the courses indicated. In some cases, different texts may be used in different sections of the same course. Textbooks in all courses numbered 300 and above are chosen by the individual instructor. Check the course listings in Testudo to determine texts offered in specific sections. math 241 -- calculus iii An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss. His office is in room 2114 of the Mathematics Building, and his university phone extension is 55166. (Calling from outside the university, call 301-405-5166.) He will generally hold office hours Mondays and Wednesdays 10:00-11:00, or by appointment.It isn’t just where you end up that counts, it’s how you got there and what happened along the way. The notion that math and writing ought to be taught in a similar way feels simul...Whatever you choose to use, be consistent. I will use horizontal vectors in this guide because that's how we think of them in Math 241. As a vertical vector we use semicolons to separate rows: u=[2;3;7] u = 2 3 7 As a horizontal vector (like I'll do) we use spaces or commas. I'll use spaces out of habit. u=[2 3 7] The Mathematics Department offers drop-in tutoring in Room 0301 of the Math Building. Note the many hours on the Drop-In Tutoring Schedule at which Math 241 TAs are available this semester Usually, it is better for you to make use of the many free opportunities for help, rather than pay someone not currently affiliated with the course ... MATH 241, Sec. 03xx: CALCULUS III (An Introduction to Multivariable Calculus) Department of Mathematics, UMCP Fall 2017 Handout 1: SYLLABUS AND POLICIES Date: Monday, 08/28/17MATH 241, Spring 2014: Calculus III Vector field (F 1,F 2) with third curl component F 2x-F 1y shown by color: blue means clockwise, red means counterclockwise ... name@math means [email protected] Recommended Problems from the Textbook MATH 241 Resources. MATH241 Tutoring has started, see schedule.The lecturer in these sections of MATH 241 is Professor Jonathan Rosenberg . His office is in room 2114 of the Mathematics Building, and his university phone extension is 55166. (Calling from outside the university, call 301-405-5166.) He will generally hold office hours Mondays and Wednesdays 10:00-11:00, or by appointment.Justin: jow@math. Description: Math 241 is the most advanced of the three basic calculus courses. We shall cover such topics as vectors, vector-valued functions, multiple integrals, line and surface integrals as well as the important fundamental calculus theorems. Book: The book is Calculus, Ellis & Gulick, 6th Edition (ISBN 0-759-31379-2). 4176 Campus Drive - William E. Kirwan Hall College Park, MD 20742-4015 P: 301.405.5047 | F: 301.314.0827. Give to the Math Department Are you looking for a fun and interactive way to improve your mathematical skills? Look no further than free online math games. These games not only make learning math enjoyable, b...Fall 2012 - Math 241 Calculus III Instructor: Antoine Mellet . Office: Math Building 3314. Classes: MWF 11:00am-11:50am (ARM 0126) Office Hours: M 2-3 and by appointment . First day Hand-out . Math Tutoring Schedule ... In particular, Matlab is available in the computer lab in Math 0203.Tangential and normal components of acceleration; curvature of a curveWhether you’re a teacher in a school district, a parent of preschool or homeschooled children or just someone who loves to learn, you know the secret to learning anything — particu... The Mathematics Department offers drop-in tutoring in Room 0301 of the Math Building. Note the many hours on the Drop-In Tutoring Schedule at which Math 241 TAs are available this semester Usually, it is better for you to make use of the many free opportunities for help, rather than pay someone not currently affiliated with the course ... MATH 241 Sections 03** Exam 3 Spring 2021 Exam Submission: 1.Submit this exam to Gradescope. 2.Tag your problems! 3.You may print the exam, write on it, scan and upload. 4.Or you may just write on it on a tablet and upload. 5.Or you are welcome to write the answers on a separate piece of paper if other options don’t appeal to you, then scan ...MATH 241: CALCULUS III (An Introduction to Multivariable Calculus)--Section 03xx Fall 2010 Instructor: Dionisios Margetis LARGE LECTURES: MWF, 12:00pm -- 12:50pm; Room: ARM 0126 Instructor's office hours: Mon & Wed, 1:00pm -- 1:50pm (after lecture); or by appointment. Regular office hours will start on Wed Sept. 8horizontal vectors in this guide because that’s how we think of them in Math 241, except with i, j and k. As a horizontal vector (like I’ll do) we use spaces or commas to separate values. u=[2,3,7] u = 2 3 7 We can put variables inside vectors too for VVFs and then take derivatives and stu like that: a=[t^2,1/t,2*t] diff(a) int(a,1,3) a ...MATH - Mathematics. MATH107 Introduction to Math Modeling and Probability (3 Credits) A goal is to convey the power of mathematics as shown by a variety of problems which can be modeled and solved by quantitative means. Also included is an introduction to probability. Topics include data analysis, equations, systems of equations, inequalities ...Math 241 Exam 2 Fall 2018 Justin Wyss-Gallifent Directions: Do not simplify unless indicated. No calculators are permitted. Show all work as appro-priate for the methods taught in this course. Partial credit will be given for any work, words or ideas which are relevant to the problem. Please put problem 1 on answer sheet 1 1.Answers should be neat and tidy and complete. 1. Let Lbe the line with symmetric equation: x 1 2 = z 3 ; y = 2 Let Pbe the plane with equation: 2x+ y 3z = 1 (a) Find the point at which Lmeets P. [10 pts] (b) At this point, what is the cosine of the angle between Land the normal vector for P? [15 pts] (c) If you went to the point on the line ...The eight courses must include the following. At least one course from MATH 401, 403, 405. One course from AMSC 460, 466. MATH 410. A one-year sequence which develops a particular area of mathematics in depth, chosen from the following list: (i) MATH 410-411, (ii) MATH 403-404, (iii) Math 403-405, (iv) STAT [email protected]. Give a brief summary of your mathematics background and reasons why you think the Math 340-341 is appropriate for you. The topics listed for Math 240, 241 and 246 are covered in Math 340-341, in greater depth. In addition there is supplementary material from differential geometry, Fourier series and calculus of ... His office is in room 2114 of the Mathematics Building, and his university phone extension is 55166. (Calling from outside the university, call 301-405-5166.) He will generally hold office hours Mondays and Wednesdays 10:00-11:00, or by appointment. Math 241 Exam 2 QPPPPPPR 2020 Solutions ^|ust^{n Wyss-Gall^{fent 1.(a)Sketch the surfaces x2 +y2 = 9 and z= p x2 + y2 together. Name the surfaces and describe [12 pts] what the intersection is. Solution: 3 Cylinder Cone Intersection Circle (b)Write down the equation of the upper hemisphere with center (2;3;0) and radius 5. [8 pts] Solution: We ...Math 241 Exam 2 QPPPPPPR 2020 Solutions ^|ust^{n Wyss-Gall^{fent 1.(a)Sketch the surfaces x2 +y2 = 9 and z= p x2 + y2 together. Name the surfaces and describe [12 pts] what the intersection is. Solution: 3 Cylinder Cone Intersection Circle (b)Write down the equation of the upper hemisphere with center (2;3;0) and radius 5. [8 pts] Solution: We ... Math 241 Fall 2021 Final Exam Be sure your name, section number and problem number are on each answer sheet and that you have copied and signed the honor pledge on the rst answer sheet. Follow the instructions as to which problem goes on which answer sheet. You may use the It’s no secret that today’s digital landscape looks wildly different than that of 10 years ago. Terms like “blockchain” and “biometrics”—once hypotheticals relegated to science fic...Math 241: Practice Problems for Exam 1 1. ConsiderthepointsP = (1;1;2),Q = (2;1;1),R = (1;2;1) (a) FindthesymmetricequationsofthelinethroughthepointsP andQ.Optimization. Critical points (a mupad notebook) and PDF version. Week of October 24 - October 28. 7. Lagrange Multipliers. Week of October 31 - November 4. 8. Double Integrals. Week of November 7 - November 11.MATH 241 Sections Exam 1 Spring 2021 (JWG) Exam Submission: 1. From the moment you download this exam you have three hours to take the exam and submit to Gradescope. This includes the entire upload and tag pro-cedure so do not wait until the last minute. 2. Tag your problems! Please! 3. You may print the exam, write on it, scan and upload. 4. Optimization. Critical points (a mupad notebook) and PDF version. Week of October 24 - October 28. 7. Lagrange Multipliers. Week of October 31 - November 4. 8. Double Integrals. Week of November 7 - November 11. In mathematics, the median value is the middle number in a set of sorted numbers. For example, in the set of numbers 10, 11, 13, 15, 16, 23 and 26, the median is 15 because exactly...Math 241 Exam 2 Fall 2018 Justin Wyss-Gallifent Directions: Do not simplify unless indicated. No calculators are permitted. Show all work as appro-priate for the methods taught in this course. Partial credit will be given for any work, words or ideas which are relevant to the problem. Please put problem 1 on answer sheet 1 1.Answer: The vector field is tangential to circles. If we move around a circle in the direction of the arrows, the function f would have to keep increasing (since grad f = F). But when we arrive at the starting point we must have the same value again - this is a contradiction! syms x y z. F = [-y,x]/(x^2+y^2); vectorfield(F,-2:.4:2,-2:.4:2);

Math 241 Σxam 4 Spring 2018 R ustin ∇∇yss-Gallifent May the fourth be with you! Directions: Do not simplify unless indicated. No calculators are permitted. Show all work as appropriate for the methods taught in this course. Partial credit will be given for any work, words or ideas which are relevant to the problem. Please put problem 1 on .... Stephen soules katie autry

umd math 241

MATH 241, Spring 2014: Calculus III Vector field (F 1,F 2) with third curl component F 2x-F 1y shown by color: blue means clockwise, red means counterclockwise ... name@math means [email protected] Recommended Problems from the Textbook MATH 241 Resources. MATH241 Tutoring has started, see schedule.math 241 -- calculus iii An introduction to multivariable calculus, including vectors and vector-valued functions, partial derivatives and applications of partial derivatives (such as tangent planes and Lagrange multipliers), multiple integrals, volume, surface area, and the classical theorems of Green, Stokes and Gauss.Effective Fall 2013, Math 310 will be a major requirement. It will also be a prerequisite for Math 410. One may be exempted from MATH310 if: one receives A's in Math 240 and Math 241, or; one receives B's in Math340 and Math 341, or; one receives a B in CMSC250 ; Math 410 is our "gateway mathematical maturity course."Math 241 Section 12.3: Derivatives and Integrals of VVFs Dr. Justin O. Wyss-Gallifent 1. De ne the derivative of r(t) with a limit (just to make the point) but said that in practice we just take the derivatives of the components. Example: Make one up. 2. Application: If r(t) gives position of an object then: Dr. Justin Wyss-Gallifent. Principal Lecturer. 2236 Iribe. MATH115 Precalculus I haven't taught this course in maybe eight years but when I did, I typed up detailed notes. I can't vouch for the section numbers and I can't promise that MATH115 hasn't changed a bit, but I figured these notes might be useful to someone. His office is in room 2114 of the Mathematics Building, and his university phone extension is 55166. (Calling from outside the university, call 301-405-5166.) He will generally hold office hours Mondays and Wednesdays 10:00-11:00, or by appointment.MATH 241 Sections Exam 2 Spring 2021 (JWG) Solutions Exam Submission: 1.From the moment you download this exam you have three hours to take the exam and submit to Gradescope. This includes the entire upload and tag pro-cedure so do not wait until the last minute. 2.Tag your problems! Please! 3.You may print the exam, write on it, scan and …His office is in room 2114 of the Mathematics Building, and his university phone extension is 55166. (Calling from outside the university, call 301-405-5166.) He will generally hold office hours Mondays and Wednesdays 10:00-11:00, or by appointment.Math 241 Spring 2022 Final Exam with Solutions. Math 241 Spring 2022 Final Exam with Solutions Be sure your name, section number and problem number are on each answer sheet and that you have copied and signed the honor pledge on the rst answer sheet. Follow the instructions as to which problem goes on which answer sheet.2. Parts (a) and (b) are independent. (a) An 80 pound force and a 50 pound force are applied to an object at the same point with [10 pts] an angle of ˇ 6 between them. Find the magnitude of the resultant force on the object.In order to help students transition to their studies at UMD, the Mathematics Department offers credit-by-exams forMATH 120, 121, 140, 141, 240, 241 and 246.Credit-by-exam for ….

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