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Sequences, Series,

and Multivariable Calculus

Kiryl Tsishchanka
SYLLABUS
(12:00pm-1:00pm)		 SYLLABUS
(3:00pm-4:00pm)
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Weeks Dates Sections Lecture Notes/Students' Annotated Copies
1
 Jan 19, 21
 Section 5.5
 The Substitution Rule
2
 Jan 24, 26, 28
 		Section 7.1 Integration by Parts
Section 7.2 Trigonometric Integrals
3, 4
 Jan 31, Feb 2, 4, 7, 9, 11
 Section 7.3 Trigonometric Substitution  
Section 7.4 Partial Fractions   Annotated Copy
5
 Feb 14, 16, 18
 Section 7.8 Improper Integrals   Annotated Copy 1   Annotated Copy 2
Section 9.1 Modeling with Differential Equations
Section 9.2 Direction Fields and Euler’s Method  PP
6
 Feb 21 Section 9.3 Separable equations   PR
Feb 23
 Section 9.4 Models for Population Growth
Feb 25
 Sections 5.5, 7.1-7.4, 7.8
 MIDTERM 1
7
 Feb 28, Mar 2, 4
 Section 9.5 First-order linear differential equations   PR
Section 10.1 Curves Defined by Parametric Equations
8
 Mar 7, 9, 11 Section 10.2 Calculus with Parametric Curves
Section 10.3 Polar Coordinates
Section 10.4 Areas and Lengths in Polar Coordinates
9
 Mar 14-19
Spring Break
10
 Mar 21, 23, 25 Section 11.1 Sequences
Section 11.2 Series
11
Mar 28, 30, Apr 1		 Section 11.3 The Integral Test
Section 11.4 The Comparison Test
Section 11.5 Alternating Series
12
 Apr 4, 6, 8
 Section 11.6 Absolute Convergence and the Ratio and Root Tests
Section 11.8 Power Series
Section 11.9 Representing Functions as Power Series
13
 Apr 11, 13
 Section 11.10 Taylor and Maclaurin Series
Apr 15
 Sections 9.1-9.5, 10.1-10.4, 11.1-11.5
 MIDTERM 2
14
 Apr 18, 20, 22
 Section 11.11 Applications of Taylor Polynomials
Section 14.1 Functions of Several Variables
Section 14.2 Limits and Continuity   EX   PP
15
 Apr 25, 27, 29
 		Section 14.3 Partial Derivatives   PP
Section 14.5 The Chain Rule   PP
Section 15.1 Double Integrals over Rectangles   PP
16
 May 2, 4, 6
 Section 15.2 Iterated Integrals   PP
Section 15.3 Double Integrals over General Regions   PP
Section 15.4 Double Integrals in Polar Coordinates   PP
17
 May 11 (Wed) 2:00pm-5:00pm
MWF 12:00pm-1:00pm groups (53340, 53345)  		Cumulative FINAL EXAM
May 11 (Wed) 7:00pm-10:00pm
MWF 3:00pm-4:00pm groups (53450, 53455)