Mr. Aiu's Lincoln-Way East Website
Pre-Calculus Honors PowerPoints
FIRST SEMESTER
SECOND SEMESTER
Unit 1 - A Review of Functions
Unit 7 - The Indefinite Integral
1.1 Graphs and Lines Review   7.1 Indefinite Integrals
1.2 Functions Vocabulary Review   7.2 Differential Equations
1.3 More on Functions   7.3 Integration by Substitution
1.4 Transformations and Operations on Functions   7.4 Integrals of Trigonometric Functions
         
 
Unit 2 - A Review of Functions
    
Unit 8 - More on Integration
2.1 Trigonometric Identities   8.1.1 Fundamental Theorem of Calculus Pt 1
2.2 Trigonometric Values Review   8.1.2 Fundamental Theorem of Calculsu Pt 2
2.3 Sum and Difference Formulas   8.2 Substitution in Definite Integrals
2.4 Double Angle and Half Angle Formulas   8.3 Area Between Curves
2.5 Inverse Trigonometric Functions   8.4 Net and Total Distance
2.6 Trigonometric Equations (NC)   8.5 Approx. the Definite Integral: Riemann Sums
2.7 Trigonometric Equations (C)      
       
Unit 9 - Logarithmic and Exponential Functions
 
Unit 3 - Polar Coordinates
   9.1 One-to-One Functions; Inverse Functions
3.1 Polar Coordinates   9.2 Exponential Functions
3.2 Polar Equations   9.3 Logarithmic Functions
3.3 Polar Graphs   9.4.1 Properties of Logarithms Pt 1
3.4 The Complex Plane; DeMoivre's Theorem   9.4.2 Properties of Logarithms Pt 2
      9.5 Logarithmic and Exponential Equations
 
Unit 4 - Vectors
      
4.1 Vectors in Component Form    
Unit 10 - Calculus of Log/Exp Functions
4.2 The Dot Product   10.1 Calculus of a^x and a^u
4.3 A Review of Determinants   10.2 Calculus of the Exponential Function
4.4 The Cross Product   10.3 Differentiation of the Logarithmic Functions
      10.4 Logarithmic Differentiation
 
Unit 5 - Limits and Continuity
   10.5 Integration Involving ln x
5.1 Limits      
5.2 Infinity as a Limit    
Unit 11 - Calculus of Log/Exp Functions
5.3 Continuity   11.1 First Derivative Graphs
5.4 Limits, Continuity, and Rational Functions   11.2 Second Derivative Graphs
5.5 Tangent Lines and Derivatives      
       
Unit 12 - Sequences and Series
 
Unit 6 - The Derivative
   12.1 Sequences
6.1 Polynomial Derivatives, Product/Quotient Rule   12.2 Arithmetic Sequences and Series
6.2 Implicit Differentiation   12.3 Geometric Sequences and Series
6.3 Linearization and Approximations      
6.4 The Chain Rule    
Unit 13 - Convergence and Divergence
6.5.1 Derivatives of Sine and Cosine Functions   13.1 Limits of Sequences
6.5.2 Derivatives of Other Trig Functions   13.2 nth Term Test for Divergence
6.6 Related Rates   13.3 Improper Integrals
      13.4 Integral Test of Convergence
      13.5 Ratio Test of Convergence
      13.6 Absolute Convergence
      13.7 Conditional Convergence
         
       
Unit 14 - Parametric and Vector Calculus
      14.1 Parametric Equations and Vectors
      14.2 Calculus w/Parametric Equations and Vectors