SM122 - Integral Calculus

 

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Last Updated:  03/04/2011 12:57

 

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Block I

Techniques of Integration

Substitution

Applications

Areas, Volumes, Work

Block II

Techniques of Integration

by Parts, Partial Fractions, Approximation, Improper

Introduction to Differential Equations

Block III

Polar Coordinates

Sequences and Series

Maclaurin/Taylor Series

Block IV

Introduction to Vectors

Lines and Planes in 3D

Vector Functions

TEST TUE 1 FEB

TEST MON 7 MAR

TEST TUE 5 APR

TEST MON 2 MAY

 

5.3 Review Fund Thm of Calc (FTC Lab)

5.5 The Substitution Rule

6.1 Areas between Curves

6.2 Volumes (Disks & Washers) (Wing Lab)

6.4 Work

6.5 Average Value of a Function

 

7.1 Integration by Parts

7.4 Partial Fractions

7.7 Approximate Integration (no error bounds)

7.8 Improper Integrals

8.3 Hydrostatic Force

8.3 Center of Mass

9.1 Modeling with Differential Eqs

9.2 Direction Fields/Euler's Method

9.3 Separable Differential Eqs

3.8 Exponential Growth & Decay

HO Electric Circuits: DC (Homework)

10.3 Polar Coordinates (Polar Graph Paper)

10.4 Areas in Polar Coordinates (Area Only)

11.1 Sequences

11.2 Series

11.5 Alternating Series

11.6 Ratio Test

11.8 Power Series

11.9 Functions as Power Series

11.10 Maclaurin/Taylor Series

 

12.1 Three-Dimensional Coordinates

12.2 Vectors

12.3 The Dot Product

12.4 The Cross Product

12.5 Equations of Lines

13.1 Vector Functions & Space Curves

13.2 Derivs. & Integrals of Vector Functions