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Lecture 1

MAT 1332 Lecture Notes - Lecture 1: Inverse Trigonometric Functions, Phase Plane


Department
Mathematics
Course Code
MAT 1332
Professor
Robert Smith
Lecture
1

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MAT 1332, Winter 2016
Tentative schedule
Date
Topic/Section
PP: practice problems
Comments
Theme: Integration: tools techniques, applications
Jan 11
6.3 Riemann sums, integrals and areas
PP: 1-55
DGD: review of
integration techniques
6.2, 6.5
Jan 13
6.4 Definite and indefinite integrals
PP: 1-71
Jan 18 Post assignment 1
Jan 18
6.6 Applications of integrals (plus
volumes)
PP: 1-47
DGD: Applications:
6.4: 58—63
6.6: 1-47
Jan 20
Partial fractions
Arctan function
Jan 25
6.7 Improper Integrals (no comparison
test or leading behaviour)
DGD: Improper
integrals
6.7: 5-25, 34-37
Jan 27 Assignment 1 due, post assignment 2
Theme: Differential equations: direction fields, solution methods, qualitative analysis
Jan 27
7.1 Autonomous differential equations
(not Euler)
Feb 1
7.4 Solving separable equations,
integration
DGD: Separable
equations
7.1: 1-29, 34-51, 54-59
7.4: 1-44
Feb 3
7.2/7.3: Equilibria, stability, phase line
diagrams and solution curves
Feb 3 Assignment 2 due, post assignment 3
Feb 8
7.2/7.3 (not Euler’s method)
DGD: Equilibria and
stability
7.2: 1-38
7.3: 1-46
Feb 10
Complex numbers
Feb 10 Assignment 3 due
Feb 15–19: Study break
Feb 22
Linear Algebra I
Linear systems, Gauss elimination
Extra practice problems
Feb 24
Midterm
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