Mr. Aiu's Lincoln-Way East Website
Pre-Calculus PowerPoints

This page will be updated throughout the 2011-2012 school year, serving as a direct link to the PowerPoints used in this course. These links may be used to review for the semester/final exams, as well as by alums of the course to review previous topics.
FIRST SEMESTER
SECOND SEMESTER
Unit 1 - Conic Sections
Unit 8 - Analysis of Graphs
1.1 Completing the Square      
1.2 The Circle    
Unit 9 - Circular Trigonometry
1.3 The Parabola   9.1 Wrapping Functions Review
1.4 The Ellipse   9.2 Trigonometric Values
1.5 The Hyperbola   9.3 Trigonometric Equations I
      9.3 Trigonometric Equations II
 
Unit 2 - Triangle Trigonometry
   9.4 Trig Graphs Project
2.1 Solving Right Triangles      
2.2 Law of Sines    
Unit 10 - Trigonometric Identities
2.3 Law of Cosines   10.1 Simplifying Using Trigonometric Identities
      10.2 Veryifying Trigonometric Identities
 
Unit 3 - Vectors
   10.3 Double Angle Identities
3.1 Vectors in Two and Three Dimensions      
3.2 The Dot Product    
Unit 11 - Calculus of Trigonometry
3.3 Determinants and the Cross Product   11.1 Derivatives of Trigonometric Functions I
      11.2 Derivatives of Trigonometric Functions II
 
Unit 4 - Combinatorics and Probability
   11.3 Integrals of Trigonometric Functions I
4.1 Multiplication, Addition, and Complement   11.4 Integrals of Trigonometric Functions II
4.2 Permutations and Combinations      
4.3 Introduction to Probability    
Unit 12 - Exponential/Logarithmic Functions
4.4 Probability with Combinations   12.1 Rational Exponents
      12.2 Logarithmic Functions
 
Unit 5 - Series, Sequences, and Limits
   12.3 Laws of Logarithms
5.1 Arithmetic/Geometric Sequences   12.4 Exponential Equations
5.2 Recursive Definitions   12.5 Logarithmic Equations
5.3 Limits of Infinite Sequences      
5.4 Arithmetic/Geometric Series    
Unit 13 - Calculus of Log/Exp Functions
5.5 Infinite Series and Sigma Notation   13.1 Derivatives of Exponential Functions
      13.2 Derivatives of Logarithmic Functions
 
Unit 6 - Fundamentals of Calculus
   13.3 Integration of Exponential Functions
6.1 Limits of Functions   13.4 Integration of Logarithmic Functions
6.2 More on Limits   13.5 Exp/Log Differential Equations
6.3 Continuity      
6.4 The Slope of a Curve    
Unit 14 - Derivative Graphs
6.5 The Power Rule   14.1 First Derivative Graphs
6.6 The Indefinite Integral and Differential Equations   14.2 Second Derivative Graphs
6.7 The Definite Integral      
         
 
Unit 7 - Methods of Calculus
      
7.1 The Product Rule      
7.2 The Quotient Rule      
7.3 The Chain Rule      
7.4 Implicit Differentiation      
7.5 Integration by Subsitution