PCHA
Pre-Calculus Honors Accelerated
2021-22
Marlborough School
Dr. Kessner
Class Info
Resources
Topics
Schedule
Assignments
About
1.1-1.2 Unit Circle, Trig Graphs
1.3-1.4 Inverse Trig, Word Problems
Unit 1
2.1-2.2 Identities
2.3 Multiple Angle Identities
2.4 Law of Sines / Cosines
Unit 2
3.1 Vectors
3.2 Dot Product
3.3 Parametric Equations
3.5 Polar Graphs
3.6 Linear Systems
3.7 Matrix algebra
3.8 Matrix inverses
Unit 3
4.1 Function properties
4.2 Function operations
4.3 Polynomials
4.4 More polynomials
4.5 Fundamental Theorem of Algebra
4.6 Rational functions
Unit 4
5.1 Parabolas
5.2 Ellipses
5.3 Hyperbolas
6.1 Combinatorics
6.2 Binomial theorem
6.3 Probability
6.4 More Probability
6.5 Sequences
6.6 Series
6.7 Fun with Infinity
Unit 6
7.1 Exponential and Logarithm
7.2 Exponential and Logarithm
8.1 Limits
8.2 Continuity
8.3 The Derivative
8.4 Derivative rules
8.5 Rates of change
8.6 Trig functions
Unit 8
9.1 Chain rule
9.2 Implicit differentiation
9.3 Exponential and logarithm
9.4 Inverse Trig derivatives
9.5 Applications
Unit 9
10.1 Extreme values
10.2 Mean Value Theorem
10.3 Extreme value tests
10.4 Optimization
10.5 Linearization
10.x More Projectiles
Unit 10
9.2 Implicit differentiation
Topics:
implicit differentiation
power rule for fractions
notes (pdf)
