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Jincheng Yang

The University of Chicago

Teaching Assistant

M408D Sequences, Series, and Multivariable Calculus

Syllabus: Click Here.

  • Regular Class: TTh 11:00-12:15 am @ ECJ 1.202
  • Discussion Session:
    • MW 8:00-9:00 am @ RLM 7.104 for 53505
    • MW 3:00-4:00 pm @ RLM 7.104 for 53510
  • Dr. Struppeck’s Office Hour: TTh 10:00-10:45 am @ RLM 13.146
  • My Office Hour: MW 1:30-3:00 pm @ RLM 11.130

Syllabus

Date Major Topic (Tentative Schedule) READINGS
T 1/16 Class Overview/Substitution Review Review 5.5
Th 1/18 Parts + Trigonometric Integrals Chapter 7.1/7.2
T 1/23 Trig Substitutions Chapter 7.3-7.5
Th 1/25 Partial Fractions Chapter 7.3-7.5
T 1/30 Improper Integrals Chapter 7.8/9.1
Th 2/1 Differential Equations/Euler’s Method Chapter 9.1/9.2
T 2/6 Separable Equations Chapter 9.3/9.4
Th 2/8 Linear Differential Equations Chapter 9.5
T 2/13 Catch-up/Review  
Th 2/15 Test I (Chapters 7.1-9.5)  
T 2/20 Parametric Equations Chapter 10.1/10.2
Th 2/22 Polar Coordinates Chapter 10.3/10.4
T 2/27 Sequences Chapter 11.1
Th 3/1 Series Chapter 11.2
T 3/6 The Integral Test Chapter 11.3/11.4
Th 3/8 Comparison Tests and Alternating Series Chapter 11.4/11.5
T 3/20 Absolute Convergence and the Ratio and Root Tests Chapter 11.6/7
Th 3/22 Power Series Chapter 11.8
T 3/27 Catch-up/Review  
W 3/28 Test II (Chapters 10.1-11.8)  
Th 3/29 Representations of Functions as Power Series Chapter 11.9/11.10
T 4/3 Taylor and Maclaurin Series Chapter 11.10/11.11
Th 4/5 Functions of Several Variables Chapter 14.1/14.2
T 4/10 Limits and Continuity & Partial Derivatives Chapter 14.2/14.3
Th 4/12 The Chain Rule Chapter 14.5
T 4/17 Catch-up/Review  
W 4/18 Test III (Chapters 11.9-14.5)  
Th 4/19 Double Integrals over Rectangles Chapter 15.1/15.2
T 4/24 Double Integrals over General Regions Chapter 15.2/15.3
Th 4/26 Double Integrals in Polar Coordinates Chapter 15.4
T 5/1 Change of Variables in Multiple Integrals Chapter 15.10
Th 5/3 Catch-up/Review  
W 5/9 FINAL EXAM 9:00 am — 12:00 pm