MAT 132: Calculus II

Spring 2018

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: MW 4:00-5:20pm Engineering 145

TAs:
Yoonjoo Kim, office hours TuTh 4:30-5:30 at Math Tower S-240A
Jae Ho Cho, office hours F 9-10 am at Math Tower S-240A

This is the second lecture session of a joint course. The first lecture given by Adrian Brunyate meets MWF 10:00am-10:53am in Harriman Hall 137.

MAT 132 covers symbolic and numeric methods of integration, area under a curve, volume, applications such as work and probability, improper integrals and l'Hospital's rule, complex numbers, sequences, series, Taylor series, differential equations, and modelling.

Text: Single Variable Calculus Stony Brook Edition 4 by James Stewart. The textbook comes with an access code for Webassign, which you will need to complete the weekly homework assignments. Information regarding the textbook and pricing is available here.

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

Homework

Homework is assigned weekly on webassign. The homework set for the week is available the Saturday before the week of lectures, and due the following Sunday before midnight.

Midterm I 8:45pm, February 21 in Engineering 145

Practice Midterm I, Solutions.

Midterm II 8:45pm, March 28

Final Exam 11:15am - 1:45pm, May 9

Grades

Homework 15%, Midterm I 25%, Midterm II 25%, Final Exam 35%

Lecture Schedule


Mon 1/221. Review 5.1, Areas HW 5.1 # 4, 18, 20, 22
Wed 1/242. Review 5.2, Definite integrals HW 5.2 # 18, 21, 28, 32, 34, 48
Mon 1/293. Review 5.3, Evaluating integrals HW 5.3 # 6, 14, 22, 46, 50, 60, 76
Wed 1/314. Review 5.4, Fundamental theorem of calculus HW 5.4 # 8, 14, 16, 20, 25
Mon 2/55. 5.5, Integration by substitution HW 5.5 # 8, 14, 17, 22, 36, 48, 52, 62
Wed 2/76. 5.6, Integration by parts HW 5.6 # 5, 6, 9, 11, 12
Mon 2/127. 5.7, Partial fractions, trig substitutionHW 5.7 # 3, 19, 20, 25, 31
Wed 2/148. 5.10, Improper integrals HW 5.10 # 7, 14, 20, 26, 34, 64
Mon 2/199. 6.1, Areas HW 6.1 # 7, 17, 26, 29, 32, 40
Wed 2/2110. 6.2, VolumesHW 6.2 # 2, 16, 26, 31, 32, 42
Wed 2/21 Midterm I, 8:45pm
Mon 2/2611. 6.3, Cylindrical shellsHW 6.3 # 6, 11, 13, 17
Wed 2/2812. 6.4, Arc lengthHW 6.4 # 5, 7, 15, 29
Mon 3/513. 6.5, Average valuesHW 6.5 # 5, 6, 10, 15
Wed 3/714. 6.6, Work, pressure, center of mass HW 6.6 # 6, 14, 17, 27, 42
Mon 3/12No class - Spring break
Wed 3/14No class - Spring break
Mon 3/1915. 6.7, Consumer surplus and biology applicationsHW 6.7 # 5, 7, 17
Wed 3/2116. 6.8, Probability, average valuesHW 6.8 # 5, 9, 13, 17
Mon 3/2617. 7.1, 7.2 Differential equations, direction fields HW 7.1 # 6, 11, 7.2 # 1, 3, 7, 21
Wed 3/2818. 7.3, Separable equations HW 7.3 # 3, 6, 10, 11, 16, 22, 35, 42
Wed 3/28 Midterm II, 8:45 pm
Mon 4/219. 7.4, Exponential growth and decay HW 7.4 # 1, 9, 11, 13, 17
Wed 4/420. 7.5, 7.6 Logistic equation and predator prey model HW 7.5 # 3, 10, 18, 7.6 # 2, 5
Mon 4/921. 8.1, Sequences HW 8.1 # 8, 10, 12, 14, 18, 28, 32, 48
Wed 4/1122. 8.2, Series HW 8.2 # 12, 14, 32, 42, 53, 57
Mon 4/1623. 8.3, Integral and comparison tests HW 8.3 # 4, 6, 8, 10, 14, 17, 30
Wed 4/1824. 8.4, Convergence tests HW 8.4 # 3, 8, 22, 23, 25, 36
Mon 4/2325. 8.5, Power series HW 8.5 # 4, 6, 8, 10, 13, 18, 24, 32
Wed 4/2526. 8.6, Differentiation and integration of power series HW 8.6 # 4, 6, 8, 15, 24
Mon 4/3027. 8.7, Taylor, Maclaurin series HW 8.7 # 4, 6, 8, 10, 24, 28, 30, 44, 58, 62, 64, 66
Wed 5/228. 8.8, Applications of Taylor series HW 8.8 # 4, 6, 13, 15, 31

QPS requirement: This course meets Stony Brook's Quantitative Problem Solving (QPS) requirement. Throughout the course you should gauge your ability to:

1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables, or schematics.

2. Represent mathematical information symbolically, visually, numerically, and verbally.

3. Employ quantitative methods such as algebra, geometry, calculus, or statistics to solve problems.

4. Estimate and check mathematical results for reasonableness.

5. Recognize the limits of mathematical and statistical methods.

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