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

10.5 Linearization

Topics:

approximating a function by its tangent line: $f(x) \approx f(x_0) + f’(x_0)(x-x_0)$