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Accueil
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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Accueil
Linear Algebra 201-105-RE
Differential Calculus 201-103-RE
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
Â
Summary of DifferentiationÂ
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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