Difference between revisions of "Math 22"

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== Concepts ==
 
== Concepts ==
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'''Disclaimer:'''
  
Some useful pages
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The pages below are made for reviewing purposes only. If you find any errors, please send me an email at tphan046@ucr.edu
 +
 
 +
Special thanks to [https://profiles.ucr.edu/app/home/profile/mcurtis Mr. Curtis] for his consultation on the content of Math 22 wiki.
 +
 
 +
Most of the pictures in this math 22 Wiki are taken from ''Brief calculus with applications'' by '''Ron Larson'''
 +
 
 +
'''Some useful pages'''
  
 
[[Graphs_of_equations_and_Symmetry| '''This page has a description of even and odd functions''']]
 
[[Graphs_of_equations_and_Symmetry| '''This page has a description of even and odd functions''']]
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[[Graphing_Rational_Functions| '''Graphing Rational Functions''']]
 
[[Graphing_Rational_Functions| '''Graphing Rational Functions''']]
  
Lectures:
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'''Lectures:'''
  
 
[[Math 22 Graph of Equation|'''1.2 Graphs of Equations''']]
 
[[Math 22 Graph of Equation|'''1.2 Graphs of Equations''']]
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[[Math 22 Chain Rule|'''2.5 Chain Rule''']]
 
[[Math 22 Chain Rule|'''2.5 Chain Rule''']]
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[[Math 22 Higher-Order Derivative|'''2.6 Higher-Order Derivative''']]
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[[Math 22 Implicit Differentiation|'''2.7 Implicit Differentiation''']]
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[[Math 22 Related Rates|'''2.8 Related Rates''']]
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[[Math 22 Increasing and Decreasing Functions|'''3.1 Increasing and Decreasing Functions''']]
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[[Math 22 Extrema and First Derivative Test|'''3.2 Extrema and First Derivative Test''']]
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[[Math 22 Concavity and the Second-Derivative Test|'''3.3 Concavity and the Second-Derivative Test''']]
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[[Math 22 Optimization Problems|'''3.4 Optimization Problems''']]
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[[Math 22 Business and Economics Applications|'''3.5 Business and Economics Applications''']]
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[[Math 22 Asymptotes|'''3.6 Asymptotes''']]
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[[Math 22 Differentials and Marginal Analysis|'''3.8 Differentials and Marginal Analysis''']]
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[[Math 22 Exponential Functions|'''4.1 Exponential Functions''']]
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[[Math 22 Natural Exponential Functions|'''4.2 Natural Exponential Functions''']]
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[[Math 22 Derivatives of Exponential Functions|'''4.3 Derivatives of Exponential Functions''']]
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[[Math 22 Logarithmic Functions|'''4.4 Logarithmic Functions''']]
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[[Math 22 Derivatives of Logarithmic Functions|'''4.5 Derivatives of Logarithmic Functions''']]
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[[Math 22 Exponential Growth and Decay|'''4.6 Exponential Growth and Decay''']]
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[[Math 22 Antiderivatives and Indefinite Integrals|'''5.1 Antiderivatives and Indefinite Integral''']]
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[[Math 22 Integration by Substitution and the General Power Rule|'''5.2 Integration by Substitution and the General Power Rule''']]
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[[Math 22 Exponential and Logarithmic Integrals|'''5.3 Exponential and Logarithmic Integrals]]
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[[Math 22 Area and the Fundamental Theorem of Calculus|''' 5.4 Area and the Fundamental Theorem of Calculus]]
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[[Math 22 The Area of a Region Bounded by Two Graphs|''' 5.5 The Area of a Region Bounded by Two Graphs]]
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[[Math 22 Integration by Parts and Present Value|''' 6.1 Integration by Parts and Present Value]]
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[[Math 22 The Three-Dimensional Coordinate System|''' 7.1 The Three-Dimensional Coordinate System]]
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[[Math 22 Functions of Several Variables|''' 7.3 Function of Several Variables]]
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[[Math 22 Partial Derivatives|'''7.4 Partial Derivatives]]
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[[Math 22 Extrema of Functions of Two Variables|'''7.5 Extrema of Functions of Two Variables]]
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[[Math 22 Lagrange Multipliers|'''7.6 Lagrange Multipliers]]
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== Sample Exams ==
 
== Sample Exams ==
 
[[022_Exam_1_Sample_A|'''Sample Exam 1, A''']]
 
[[022_Exam_1_Sample_A|'''Sample Exam 1, A''']]

Latest revision as of 08:30, 21 August 2020

Concepts

Disclaimer:

The pages below are made for reviewing purposes only. If you find any errors, please send me an email at tphan046@ucr.edu

Special thanks to Mr. Curtis for his consultation on the content of Math 22 wiki.

Most of the pictures in this math 22 Wiki are taken from Brief calculus with applications by Ron Larson

Some useful pages

This page has a description of even and odd functions

Graphing Rational Functions

Lectures:

1.2 Graphs of Equations

1.3 Lines in the Plane and Slope

1.4 Function

1.5 Limits

1.6 Continuity

2.1 The Derivative and the Slope of a Graph

2.2 Differentiation

2.3 Rates of Change

2.4 Product Rule and Quotient Rule

2.5 Chain Rule

2.6 Higher-Order Derivative

2.7 Implicit Differentiation

2.8 Related Rates

3.1 Increasing and Decreasing Functions

3.2 Extrema and First Derivative Test

3.3 Concavity and the Second-Derivative Test

3.4 Optimization Problems

3.5 Business and Economics Applications

3.6 Asymptotes

3.8 Differentials and Marginal Analysis

4.1 Exponential Functions

4.2 Natural Exponential Functions

4.3 Derivatives of Exponential Functions

4.4 Logarithmic Functions

4.5 Derivatives of Logarithmic Functions

4.6 Exponential Growth and Decay

5.1 Antiderivatives and Indefinite Integral

5.2 Integration by Substitution and the General Power Rule

5.3 Exponential and Logarithmic Integrals

5.4 Area and the Fundamental Theorem of Calculus

5.5 The Area of a Region Bounded by Two Graphs

6.1 Integration by Parts and Present Value

7.1 The Three-Dimensional Coordinate System

7.3 Function of Several Variables

7.4 Partial Derivatives

7.5 Extrema of Functions of Two Variables

7.6 Lagrange Multipliers

Sample Exams

Sample Exam 1, A

Sample Exam 2, A

Sample Exam 2, B

Sample Final A