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Calculus Notes
Chapter P
P.1 Solving Equations
Day1
Day2
Day3
Day4
P.2 Solving Inequalities
Day1
Day2
Day3
Day4
P.3 Graphical Representation of Data
Notes
Quiz Review 1-3.P
P.4 Graphs of Equations
Day1
Day2
P.5 Linear Equations in Two Variables
Day1
Day2
Chapter 1
1.1 Functions
1.2 Analyzing Graphs of Functions
1.3 Shifting, Reflecting, and Stretching Graphs
1.4 Combinations of Functions
1.5 Inverse Functions
1.6 Mathematical Modeling
Chapter 2
2.1 Quadratic Functions
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial and Synthetic Division
2.4 Complex Numbers
2.5 The Fundamental Theorem of Algebra
2.6 Rational Functions
Chapter 3
3.1 A Preview of Calculus
3.2 Finding Limits Graphically and Numerically
Day1
Day2
3.3 Evaluating Limits Analytically
Day1
Day2 and Quiz Review 2-3.3
3.4 Continuity and One-Sided Limits
Notes
3.5 Infinite Limits
Notes
Quiz Review 4-5.3
Chapter 4
4.1 The Derivative and the Tangent Line Problem
Day1
Day2
4.2 Basic Differentiation Rules and Rates of Change
Day1
Day2
4.3 The Product and Quotient Rules and Higher-Order Derivatives
Day1
Day2
The remainder of the class notes will now be located on Angel (Lessons)
http://pcps.myelearning.org
4.4 The Chain Rule
4.5 Implicit Differentiation
4.6 Related Rates
Chapter 5
5.1 Extrema on an Interval
5.2 Rolle's Theorem and the Mean Value Theorem
5.3 Increasing and Decreasing Functions and the First Derivative Test
5.4 Concavity and the Second-Derivative Test
5.5 Limits at Infinity
5.6 A Summary of Curve Sketching
5.7 Optimization Problems
5.8 Differentials
Chapter 5 Test Guidelines
Chapter 6
6.1 Antiderivatives and Indefinite Integration
6.2 Area
6.3 Riemann Sums and Definite Integrals
6.4 The Fundamental Theorem of Calulus
6.5 Integration by Substitution
6.6 Numerical Integration
Chapter 7
7.1 Exponential Functions and Their Graphs
7.2 Logarithmic Functions and Their Graphs
7.3 Using Properties of Logarithms
7.4 Exponential and Logarithmic Equations
7.5 Exponential and Logarithmic Models
Chapter 8
8.1 Exponential Functions: Differentiation and Integration
8.2 Logarithmic Functions and Differentiation
8.3 Logarithmic Functions and Integration
8.4 Differential Equations: Growth and Decay
Chapter 9
9.1 Radian and Degree Measure
9.2 Trigonometric Functions: The Unit Circle
9.3 Right Triangle Trigonometry
9.4 Trigonometric Functions of Any Angle
9.5 Graphs of Sine and Cosine Functions
9.6 Graphs of Other Trigonometric Functions
9.7 Inverse Trigonometric Functions
9.8 Applications and Models
Chapter 10
10.1 Using Fundamental Trigonometric Identities
10.2 Verifying Trigonometric Identities
10.3 Solving Trigonometric Equations
10.4 Sum and Difference Formulas
10.5 Multiple-Angle and Product-to-Sum Formulas
Chapter 11
11.1 Limits of Trigonometric Functions
Day1--Photocopied Notes
Day2
11.2 Trigonometric Functions: Differentiation
11.3 Trigonometric Functions: Integration
11.4 Inverse Trigonometric Functions: Differentiation
11.5 Inverse Trigonometric Functions: Integration
11.6 Hyperbolic Functions
Chapter 12
12.1 Introduction to Conics: Parabolas
12.2 Ellipses and Implicit Differentiation
12.3 Hyperbolas and Implicit Differentiation
12.4 Parametric Equations and Calculus
12.5 Polar Coordinates and Calculus
12.6 Graphs of Polar Equations
12.7 Polar Equations of Conics
Chapter 13
13.1 Law of Sines
13.2 Law of Cosines
13.3 Vectors in the Plane
13.4 Vectors and Dot Products
13.5 Trigonometric Form of a Complex Number
Chapter 14
14.1 Systems of Linear Equations in Two Variables
14.2 Multivariable Linear Systems
14.3 Systems of Inequalities
14.4 Matrices and Systems of Equations
14.5 Operations with Matrices
14.6 The Inverse of a Square Matrix
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This page was originally posted: 11/2/2007; 9:30:49 AM.
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