Below are syllabi for various courses:

I have the following expectations in all my courses:

1. Politeness towards other students
2. Effortful practice in class
3. Some intellectual curiosity
4. Honesty during tests

# PreCalculus 11

## Topics

• Absolute Value
• Multiplying and Dividing Radical Expressions
2. Rational Expressions
• Properties of Rational Expressions
• Multiplication and Division of Rational Expressions
• Sums and Differences of Rational Expressions
• Mixed Operations
• Rational Equations
• Applications of Rational Equations
3. Trigonometry
• Angles and Their Measure
• The Three Trigonometric Functions
• Special Angles
• Oblique Triangles
• Law of Sines
• Law of Cosines
4. Factoring and Functions
• Factoring x^2 + bx + c
• Factoring ax^2 + bx + c
• Absolute Value Functions
• Solving Absolute Value Equations
• Rational Functions
• Reciprocal Functions
• The Standard Form of a Quadratic Function
• Finding the Equation of a Parabola
• General Form to Standard Form
• Vertex of a Parabola
• Solving Quadratic Equations by Factoring
• Completing the Square and Square Root Property
• Graphing Calculator and the Discriminant
7. Systems of Equations
• Graphing Non-Linear Systems of Equations
• Solving Non-Linear Systems Algebraically
• Graphing Linear Inequalities
• Graphing Non-Linear Inequalities in Two Variables
8. Sequence and Series
• Arithmetic Sequences
• Arithmetic Series
• Geometric Sequences
• Geometric Series
• Infinite Geometric Series
9. Applied-Math Computer Labs
• Introduction to geogebra.org / Introduction to JavaScript
• Interactive Applets using GeoGebra
• other specific topics TBD
• Random Simulations: or How to Be Approximately Right
• Interactive Data Visualizations
• Final Project (based on individual studentsâ€™ interests)

Q1 Q2 Q3 Q4 Projects
15% 20% 15% 30% 20%

# PreCalculus 12

## Topics

1. Transformations
• Functions and Relations
• Arithmetic Combinations of Functions
• Composite Functions
• Transformations of Graphs
• Inverse Functions
• Combined Transformations
2. Polynomials
• Polynomials
• Graphing Polynomial Functions
• Division of Polynomials
• The Remainder and Factor Theorems
• Polynomial Applications
• Graphing and Solving Radical Equations
• Rational Functions
• Graphing Rational Functions
4. Logarithms
• Exponents
• Logarithmic Functions and Their Graphs
• Properties of Logarithms
• Exponential and Logarithmic Equations
• Applications of Exponential and Logarithmic Equations
5. Trigonometry, Part I
• Angles and Their Measure
• Trigonometric Functions of Acute Angles
• Trigonometric Functions - General and Special Angles
• Graphing Basic Trigonometric Functions
• Applications of Periodic Functions
6. Trigonometry, Part II
• Trigonometric Identities and Equations
• Verifying Trigonometric Identities
• Trigonometric Equations
• Sum and Difference Identities
• Double Angle Identities
7. Combinatorics
• Fundamental Counting Principle
• Permutations
• Combinations
• Binomial Theorem
• Pathway Problems
8. Applied-Math Computer Labs
• Introduction to geogebra.org / Introduction to JavaScript
• Interactive Applets using GeoGebra
• other specific topics TBD
• Series Approximation / Handling Polynomials
• Random Simulations: or How to Be Approximately Right
• Interactive Data Visualizations
• Final Project (based on individual studentsâ€™ interests)

Q1 Q2 Q3 Q4 Projects
15% 20% 15% 30% 20%

# Calculus 12

## Topics

1. Limits and Rates of Change
• One-sided limits
• Full (two-sided) limits
• Tangent lines
• Sequences and Series
2. Derivatives
• Definition
• Sum rule and difference rule
• Power rule
• Product rule
• Chain rule
• Implicit differentiation
• Higher-order derivatives
3. Applications of Derivatives
• Velocity and acceleration
• Related-rates problems
• Physical settings
4. Extrema
• Monotonicity
• Minimum and maximum values (both local and global)
• First derivative test
5. Sketching Curves
• Asymptotes
• Inflection points and curve concavity/convexity
• Second derivative test
6. Review of Trigonometry & their Derivatives
7. Review of Exponentials and Logarithms & their Derivatives
8. Differential Equations
• Antidifferentiation
• Initial conditions
• 2nd-order differential equations
9. Integration
• Area calculations
• Substitution rule
• Integration by parts
• Trigonometric substitutions
• Partial fractions
• Volumes of revolution