MATH 172 Section 502
Calculus
Fall 2017
Instructor: Florent Baudier
Office: Blocker 525C
Office hours: Tuesdays 8:30-10:30 a.m. and Thursdays 3:45-5:00pm or by appointment
Lectures: TR 2:20-3:35 p.m., BLOC 164
Teaching Assistant: Jennifer Rieger
Recitation
Wednesdays 4:10-5:00pm BLOC 121
Course description: Techniques of integration, applications of integrals, improper integrals, sequences, infinite series, vector algebra and solid analytic geometry. Math 172 is the second of a three semester beginning calculus sequence, which is taken, for the most part, by math, chemistry, and physics majors. Designed to be more demanding than MATH 152. No credit will be given for more than one of MATH 148, MATH 152 and MATH 172. The priorities of this course are: 1. Ability to correctly solve problems, and write the solutions in a coherent fashion. 2. Conceptual understanding of material.
Textbook: Stewart, Calculus: Early Transcendentals, 8th edition, Cengage Learning (Brooks/Cole)
Exams
Exam #1: Tuesday, October 3, 2017 7:30-9:30 p.m. (classroom: HELD 111)
Exam #2: Tuesday, November 7, 2017 7:30-9:30 p.m. (classroom: HELD 111)
Final exam: Wednesday December 13, 2017 1:00-3:00 p.m. (in the regular classroom).
Lecture notes  
Schedule
class cancelle
Date of Class Material covered
Tuesday 08/28 class cancelled due to inclement weather
Thursday 09/31 Sections 5.1, 5.2, 5.3: sigma notation, limit of a sequence, integrable functions and definite integral
Tuesday 09/05 Section 5.5: the substitution rule
Wednesday 09/06 Homework problems:
Section 5.3: #8,#14,#24,#34,#60,#62,#70,#75
Section 5.5: #8,#34,#70,#90
Quiz #1 Homework #1 solutions
Thursday 09/07 Sections 6.1-6.2: Applications of integrals, areas, volumes.
Tuesday 09/12 Section 6.3: volumes, cylindrical shells method
Wednesday 09/13 Homework problems:
Section 6.1: #14, #16, #22
Section 6.2: #2, #6, #14, #16, #48
Quiz #2 Homework #2 solutions
Thursday 09/14 Section 6.3: volumes, cylindrical shells method
Section 6.class cancelle5: Average Value
Tuesday 09/19 Section 7.1: Integration by parts.
Wednesday 09/20 Homework problems:
Section 6.3: #4, #6, #10, #14, #16, #38, #40
Quiz #3 Homework #3 solutions
Thursday 09/21 Section 7.2: Trigonometric integrals.
Tuesday 09/26 Section 7.3: Trigonometric substitution.
Wednesday 09/27 Homework problems:
Section 6.4: #4
Section 6.5: #6, #26
Section 7.1: #6, #18, #40, #48, #52, #64, #70
Quiz #4 Homework #4 solutions
Thursday 09/28 Section 7.3: Trigonometric substitution, section 7.4: Integration of rational functions by partial fractions.
Tuesday 10/03 review
Homework problems:
Section 7.2: #3, #11, #41
Section 7.3: #4, #10
Homework #5 solutions
evening Exam #1 solution key exam 1
Wednesday 10/04 Section 7.4: Integration of rational functions by partial fractions.
Thursday 10/05 Section 7.4: Integration of rational functions by partial fractions.
Tuesday 10/10 Section 7.8: Improper integrals (unbounded intervals, unbounded functions).
Wednesday 10/11 Homework problems:
Section 7.3: #22
Section 7.4: #11, #23, #25
Quiz #5 Homework #6 solutions
Thursday 10/12 Section 7.8: Improper integrals (comparison theorems).
Tuesday 10/17 Section 11.1: sequences (definitions, examples, boundedness, monotonicity).
Wednesday 10/18 Homework problems:
Section 7.8: #6, #7, #8, #10, #16, #18, #30, #32, #36
Quiz #6 Homework #7 solutions
Thursday 10/19 Section 11.1: sequences (monotonicity, convergence).
Tuesday 10/24 Section 11.1: sequences (limit theorems, squeeze theorem).
Wednesday 10/25 Homework problems:
Section 7.8: #49, #50, #51, #58, #69, #73, #74, #80
Quiz #7 Homework #8 solutions
Thursday 10/26 Section 11.1: sequences (geometric sequences, monotone convergence theorem).
Tuesday 10/31 Section 11.2: series (definitions and examples, geometric series, divergence test).
Wednesday 11/01 Homework problems:
Section 11.1: #23, #24, #27, #72, #73, #75, #77, #74
Quiz #8 Homework #9 solutions
Thursday 11/02 Section 11.2: series (limit theorems)
Section 11.4: series (comparison theorems and limit comparison theorem).
Tuesday 11/07 Problem session on sequences and series.
evening Exam #2 solution key exam 2
Wednesday 11/08 Section 11.3: series (integral test, harmonic series).
Section 11.5: alternating series.
Thursday 11/09 Section 11.6: absolute convergence and the ratio test.
Tuesday 11/14 Section 8.1: arc length.
Section 8.2: surface area.
Section 10.1: parametric curves.
Wednesday 11/15 Homework problems:
Section 11.2: #22, #23, #24, #29, #30, #38, #43, #47
Quiz #9 Homework #10 solutions
Thursday 11/16 Section 10.1: parametric curves.
Section 10.3: polar coordinates.
Section 10.4: areas and lengths in polar coordinates.
Tuesday 11/21 class does not meet
Thursday 11/23 Thanksgiving, no classes
Tuesday 11/28 Section 11.8: power series.
Section 11.9: representations of functions as power series.
Wednesday 11/29 Homework problems:
Section 11.3: #6, #7, #8
Section 11.4: #3, #10, #13
Section 11.5: #5, #9, #10
Section 11.6: #7, #8, #12
Quiz #10 Homework #11 solutions
Thursday 11/30 Section 11.9: representations of functions as power series.
Section 11.10: Taylor and McLaurin series.
Tuesday 12/05 Section 11.11: Applications of Taylor polynomials
Fall redefined day, students attend their Thursday classes
Thursday 12/07 reading day, no classes