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Linear Algebra 201-105-RE
Differential Calculus 201-103-RE

Accueil
Linear Algebra 201-105-RE
Differential Calculus 201-103-RE
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Differential Calculus

201-NYA-05

Course Plan

Sets of Numbers

Set Theory

Exponents

Expanding

Factoring

Real-Valued Functions

Linear Functions

Quadratic Functions

Domain and Range

Types of Functions

Transformations of Functions

Limits with Graphs

Concept of Limit

Direct Substitution Property

Infinite Limits

Limits of the Form [0/0]

Continuity

Continuity (Examples)

Limits at Infinity

Derivative

Derivative as Function (Empty)

Derivative as Function

Summary of Differentiation

Derivative as Limit

Leibniz Notation

Basic Differentiation Rules

Product and Quotient Rules

Chain Rule

Differentiation Rules

Tangent Line

Tangent Line through Point

Implicit Differentiation

Summary of Course

Trigonometry

Sine and Cosine

Trigonometric Equations

Very Important Limit

Addition Formulas

Derivative of Sine and Cosine

Examples for Sine and Cosine

Other Trig. Functions

Derivative of OTF

Inverse Functions

Arcsine and Arccosine

Arctangent

Derivative of ITF

Arcsecant

Arccosecant

Arccotangent

The Number e

Exponential Functions

Concept of Logarithm

Derivative of Exp. Functions

Logarithmic Functions

Graphs

Derivative of Log. Functions

The function f(x)=ln|x|

Exp. and Log. Equations

Logarithmic Differentiation

Spider's Web

Related Rates

Linear Approximations

Differentials

Higher-Order Derivatives

n^th Derivative

L'Hospital's Rule (I)

L'Hospital's Rule (II)

L'Hospital's Rule and I.F.

L'Hospital's Rule (III)

L'Hospital's Rule (IV)

Squeeze Theorem

Continuity Revisited

Local and Absolute Extrema

Absolute Extrema

Fabulous Eighteen

Domain, Intercepts, Symmetry

Asymptotes

First Derivative

Second Derivative

Graphing (Empty)

Graphing

Optimization

Norman Window

Mean Value Theorem

Exercise Sheet 1

Exercise Sheet 2

Exercise Sheet 3

Exercise Sheet 4

Exercise Sheet 5

Exercise Sheet 6

Exercise Sheet 7

Exercise Sheet 8

Exercise Sheet 9

Exercise Sheet 10

Exercise Sheet 11

Exercise Sheet 12

Exercise Sheet 13

Exercise Sheet 14

Exercise Sheet 15

Exercise Sheet 16

Exercise Sheet 17

Exercise Sheet 18

Exercise Sheet 19

Exercise Sheet 20

Exercise Sheet 21

Exercise Sheet 22

Exercise Sheet 23

Exercise Sheet 24

Exercise Sheet 25

Exercise Sheet 26

Exercise Sheet 27

Exercise Sheet 28 (Q)

Exercise Sheet 28 (A)

Exercise Sheet 29

Test 1 : Solutions

Test 4 : Solutions

Test 2 : Solutions

Test 5 : Solutions

Test 3 : Solutions

Test 6 : Solutions

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