MAT 203: Calculus III with Applications

Spring 2019

Robert Hough

Assistant Professor, Mathematics
SUNY Stony Brook

Send the lecturer (R. Hough) email at: robert.hough - at - stonybrook.edu

Office: 4-118 Mathematics Building

Office hours: 9-10am, Tuesday and Thursday in 4-118, 6-7pm Wednesday in MLC.

Lectures: MWF 10:00-10:53pm Library W4550

TAs:
Pranav Upadrashta, office hours M 2:30-3:30pm at Math Tower S-240A, M 3:30pm-4:30pm and Th 4:00-5:00pm in the Math Learning Center
Jae Ho Cho, office hours Th 11:00am-12:00pm at Math Tower 2-109

This is the second lecture section of MAT 203 this term. Robert Andersen is also teaching MAT 203 in the same room MW 4:00pm-5:20pm. The two courses are separate, but approximately coordinated. The exams and homework are different, so it is important that you attend the correct lecture.

MAT 203 covers vector algebra in two and three dimensions, multivariate differential and integral calculus, optimization, vector calculus including the theorems of Green, Gauss, and Stokes. Applications are given to economics, engineering, and all sciences, with emphasis on numerical and graphical solutions.

Text: Multivariable calculus by Ron Larson and Bruce Edwards. The textbook comes with an access code for Webassign, which you will need to complete the weekly homework assignments.

A link to BlackBoard . You will need a NETID and password to access this.

Homework

Homework is assigned weekly on webassign. The homework for a week of lectures is due the following Monday by 8am.

Exams

There are two in class Midterms, to be held Feb. 25 and April 8. The final exam is to be held Monday, May 20 from 8:00-10:45 AM.

Grades

Homework 20%, Midterm I 25%, Midterm II 25%, Final Exam 30%

Lecture Schedule/Syllabus


Lecture date Section Homework problems from the section
Mon 1/281. 11.1 Vectors in the plane 5, 29, 38, 40, 43, 46, 52, 64, 72, 78, 82
Wed 1/302. 11.2 Space coordinates 24, 32, 36, 38, 45, 57, 65, 72, 103
Fri 2/13. 11.3 The dot product 12, 21, 29, 42, 53, 59
Mon 2/44. 11.4 The cross product 8, 12, 16, 22, 27, 30, 32, 36
Wed 2/65. 11.5 Lines and planes 9, 18, 22, 25, 33, 38, 61, 66, 88, 93, 100, 108
Fri 2/86. 11.6 Surfaces in space 6, 13, 17, 19, 21, 32, 34, 42, 45
Mon 2/117. 11.7 Cylindrical and spherical coordinates 4, 12, 17, 20, 25, 38, 44, 50, 51, 56, 60, 75
Wed 2/138. 12.1 Vector valued functions 10, 13, 22, 27, 31, 49, 53, 57
Fri 2/159. 12.2 Differentiation and integration of vector valued functions 5, 11, 14, 20, 23, 25, 36, 52, 54, 75
Mon 2/1810. 12.3 Velocity and acceleration 3, 8, 14, 23, 28, 36, 42, 50
Wed 2/2011. 12.4 Tangent vectors and normal vectors 3, 5, 11, 14, 18, 20, 25, 27, 31, 37, 41, 49, 52, 62
Fri 2/2212. 12.5 Arc length 3, 9, 15, 20, 23, 32, 40, 46, 67
Mon 2/25 Midterm I, in class
Wed 2/2713. 13.1 Functions of several variables 7, 15, 21, 45, 46, 51, 67, 76
Fri 3/114. 13.2 Limits and continuity11, 16, 19, 23, 31, 36, 41, 48, 55, 66, 78
Mon 3/415.13.3 Partial derivatives11, 19, 38, 43, 52, 56, 84, 109
Wed 3/616.13.4 Differentials5, 11, 20, 28, 31, 34
Fri 3/817.13.5 Chain rule for functions of several variables3, 5, 14, 15, 17, 24, 28, 35, 50
Mon 3/1118.13.6 Directional derivatives and gradients3, 7, 11, 15, 22, 39, 42, 47, 61
Wed 3/1319.13.7 Tangent planes and normal lines6, 10, 12, 19, 21, 29, 41, 45, 46
Fri 3/1520.13.8 Extrema of functions of two variables3, 7, 18, 20, 21, 24, 28, 34
Mon 3/18-Fri 3/22 Spring break
Mon 3/2521.13.9 Applications of extrema3, 7, 8, 10, 24, 26, 36
Wed 3/2722.13.10 Lagrange multipliers5, 7, 10, 12, 15, 21, 24, 31, 47
Fri 3/2923.14.1 Iterated integrals and area 6, 8, 13, 18, 19, 22, 23, 27, 30, 43, 57, 61, 64, 65
Mon 4/124.14.2 Double integrals5, 7, 8, 10, 13, 17, 26, 31, 53, 63, 72
Wed 4/325.14.3 Change of variables, polar coordinates8, 9, 14, 17, 28, 29, 36, 43, 47, 67
Fri 4/526.14.4 Center of mass and moment of inertia4, 9, 14, 15, 23, 35, 44
Mon 4/8Midterm II, in class
Wed 4/1027. 14.5 Surface area5, 7, 12, 18, 20, 33, 35
Fri 4/1228. 14.6 Triple integrals and applications 5, 8, 9, 15, 22, 25, 31, 38, 51, 56, 59, 64
Mon 4/1529.14.7 Triple integrals in other coordinates4, 6, 12, 16, 18, 27, 33, 36, 38
Wed 4/1730.14.8 Change of variables, Jacobians4, 9, 13, 17, 24, 29, 31
Fri 4/1931.15.1 Vector fields5, 9, 15, 19, 24, 28, 36, 39, 44, 49, 50, 60, 63, 69
Mon 4/2232.15.2 Line integrals4, 12, 14, 17, 19, 27, 30, 36, 44, 45, 55, 60, 70
Wed 4/2433.15.3 Conservative vector fields1, 6, 13, 16, 20, 24, 26, 31, 33, 45
Fri 4/1634.15.4 Green's Theorem4, 12, 16, 18, 22, 28, 37, 41, 44
Mon 4/2935.15.5 Parametric surfaces4, 7, 10, 21, 24, 32, 36, 40, 42, 55
Wed 5/136.15.6 Surface integrals6, 10, 14, 18, 22, 27, 28, 32, 36, 38
Fri 5/337.15.7 Divergence Theorem6, 10, 12, 15, 16, 17, 18
Mon 5/638.15.8 Stoke's Theorem4, 6, 7, 10, 12, 14, 16, 18
Wed 5/839.15.8 Stoke's Theorem
Fri 5/1040.Review

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