Advanced Calculus

201-BNK-05

COURSE PLAN

REVIEW OF BASIC CONCEPTS

Circle

Graphs

Ellipse

Set Theory

Hyperbola

Inverse Functions

TRIGONOMETRY

Trigonometry

REVIEW OF DIFFERENTIAL CALCULUS

Summ. of Diff.

Chain Rule

Differentiation Rules

Leibniz Notation

Inverse Functions

REVIEW OF INTEGRAL CALCULUS

Archimedes & Circle

Riemann Integral

FTC

Exponential Growth

REVIEW OF LINEAR ALGEBRA

Norm of a Vector

Cross Product and Area

Cauchy-Schwartz Inequality

Dot Product

Geom. Int. of Determinants

Projection

Planes in R^3

Cross Product

Lines in R^3

VECTOR-VALUED FUNCTIONS

Exercise Sheet 1

Exercise Sheet 5

Exercise Sheet 2

Exercise Sheet 6

Exercise Sheet 3

Exercise Sheet 4

MULTIVARIABLE FUNCTIONS

Exercise Sheet 7

Exercise Sheet 11

Exercise Sheet 8

Exercise Sheet 12

Exercise Sheet 9

Exercise Sheet13

Exercise Sheet 10

MULTIPLE INTEGRALS

Exercise Sheet 14

Exercise Sheet 18

Exercise Sheet 15

Exercise Sheet 19

Exercise Sheet 16

Exercise Sheet 20

Exercise Sheet 17

Exercise Sheet 21

VECTOR CALCULUS

Exercise Sheet 22

Exercise Sheet 23

Exercise Sheet 24

Exercise Sheet 25

SPECIAL FUNCTIONS

Gamma Function

Gamma(1/2)

Beta Function

Exercise Sheet 26

Exercise Sheet 27

PROGRAM GRAFO

Program Grafo

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