MATH 172 Section 501
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: MWF 10:20-11:10 a.m., BLOC 164
Teaching Assistant: Cameron Beiseigel (Cameron will have office hours MW 4:30-5:30 p.m. in Blocker 509 and is reachable by email at "beiseigel" followed by @tamu.edu)
Recitation
Tuesdays 3:55-4:45pm BLOC 160
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: Tuesday December 12, 2017 8:00-10:00 a.m. (in the regular classroom).
Lecture notes  
Schedule
Date of Class Material covered
Monday 08/27 class cancelled due to inclement weather
Wednesday 08/29 Sections 5.1, 5.2, 5.3: sigma notation, limit of a sequence, integrable functions and definite integral
Friday 09/31 Sections 5.1, 5.2, 5.3: sigma notation, limit of a sequence, integrable functions and definite integral
Monday 09/04 Section 5.5: the substitution rule
Tuesday 09/05 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
Wednesday 09/06 Sections 6.1: Applications of integrals, areas.
Friday 09/08 Sections 6.2: Applications of integrals, volumes.
Monday 09/11 Sections 6.3: volumes, cylindrical shells method.
Tuesday 09/12 Homework problems:
Section 6.1: #14, #16, #22
Section 6.2: #2, #6, #14, #16, #48
Quiz #2 Homework #2 solutions
Wednesday 09/13 Sections 6.3: volumes, cylindrical shells method.
Friday 09/15 Section 6.5: Average Value.
Monday 09/18 Section 7.1: Integration by parts.
Tuesday 09/19 Homework problems:
Section 6.3: #4, #6, #10, #14, #16, #38, #40
Quiz #3 Homework #3 solutions
Wednesday 09/20 Section 7.1: Integration by parts.
Section 7.2: Trigonometric integrals.
Friday 09/22 Section 7.2: Trigonometric integrals.
Monday 09/25 Section 7.3: Trigonometric substitution.
Tuesday 09/26 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
Wednesday 09/27 Section 7.3: Trigonometric substitution.
Friday 09/29 Section 7.4: Integration of rational functions by partial fractions.
Monday 10/02 Section 7.4: Integration of rational functions by partial fractions.
Tuesday 10/03 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.
Friday 10/06 Section 7.4: Integration of rational functions by partial fractions.
Monday 10/09 Section 7.8: Improper integrals (unbounded intervals).
Tuesday 10/10 Homework problems:
Section 7.3: #22
Section 7.4: #11, #23, #25
Quiz #5 Homework #6 solutions
Wednesday 10/11 Section 7.8: Improper integrals (unbounded functions).
Friday 10/13 Section 7.8: Improper integrals (comparison theorems).
Monday 10/16 Section 11.1: sequences (definition, boundedness).
Tuesday 10/17 Homework problems:
Section 7.8: #6, #7, #8, #10, #16, #18, #30, #32, #36
Quiz #6 Homework #7 solutions
Wednesday 10/18 Section 11.1: sequences (monotonicity).
Friday 10/20 Section 11.1: sequences (convergence).
Monday 10/23 Section 11.1: sequences (limit theorems)
Tuesday 10/24 Homework problems:
Section 7.8: #49, #50, #51, #58, #69, #73, #74, #80
Quiz #7 Homework #8 solutions
Wednesday 10/25 Section 11.1: sequences (squeeze theorem, geometric sequences)
Friday 10/27 class cancelled
Monday 10/30 Section 11.1 (geometric sequences, monotone convergence theorem)
Tuesday 10/31 Homework problems:
Section 11.1: #23, #24, #27, #72, #73, #75, #77, #74
Quiz #8 Homework #9 solutions
Wednesday 11/01 Section 11.2 series (definitions and examples, geometric series, divergence test).
Friday 11/03 Section 11.4: series (limit theorems, comparison theorems and limit comparison test).
Monday 11/06 Problem session on sequences and series.
Tuesday 11/07 evening Exam #2 solution key exam 2
Wednesday 11/08 Section 11.3: series (integral test).
Friday 11/09 Section 11.5: alternating series.
Monday 11/13 Section 11.6: absolute convergence and the ratio test.
Tuesday 11/14 Homework problems:
Section 11.2: #22, #23, #24, #29, #30, #38, #43, #47
Quiz #9 Homework #10 solutions
Wednesday 11/15 Section 8.1: arc length.
Section 8.2: surface area.
Friday 11/17 Section 10.1: parametric curves.
Section 10.2: parametric curves continued.
Monday 11/20 Section 10.3: polar coordinates.
Section 10.4: areas and lengths in polar coordinates.
Wednesday 11/22 reading day no classes
Thursday 11/23 Thanksgiving
Friday 11/24 Thanksgiving Holiday, no classes
Monday 11/27 Section 11.8: power series.
Tuesday 11/28 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
Wednesday 11/29 Section 11.9: representations of functions as power series.
Friday 11/30 Section 11.10: Taylor and McLaurin series.
Monday 12/04 Section 11.11: Applications of Taylor polynomials
Tuesday 12/05 Fall redefined day, students attend their Thursday classes
Wednesday 12/06 last day of classes
Thursday 12/07 reading day, no classes