Useful Links
Click to contact Mrs. Peeters Weem by email. The syllabus for this course.
Khan Academy has useful practice and videos for those times you get stuck on your homework.
This Constructions site shows the steps for common geometric constructions.
Glossary of Terms, Glosario de términos
Useful Links and Videos
Mod 1: Chapter 4: Limits and Derivatives
Understand limits and continuity from the graph of a function.
Understand limits from the formula of a function without a graph.
Understand the concept and mathematical definition of a derivative.
Use the rules of differentiation to find derivatives.
Communicate mathematical ideas using correct and appropriate notation.
Useful Links and Videos
Mod 2: Chapter 6: Relations in Space
Use the rules of differentiation to find derivatives explicitly and implicitly.
Use derivatives to solve applied problems.
Communicate mathematical ideas using correct and appropriate notation.
Review properties of 3D space, angle measures, trigonometric ratios, identities, functions and equations.
Useful Links and Videos
Mod 3: Lessons 7.1-7.3, 8.4: Exponential and Logarithmic Differentiation, L'Hopital's Rule
Use the rules of differentiation to find derivatives explicitly and implicitly.
Use derivatives to solve applied problems.
Communicate mathematical ideas using correct and appropriate notation.
Review properties of exponential and logarithmic functions.
Connect differentiation and limits to integration.
Useful Links and Videos
Mod 4: Lesson 7.4, Chapter 8: Integration techniques and applications
Evaluate indefinite and definite integrals.
Use definite integrals to solve application problems.
Use various integration techniques to evaluate integrals.
Communicate mathematical ideas using correct and appropriate notation.
Useful Links and Videos
Mod 5: Chapter 9: Vectors and 3D space
Understand vectors and represent them geometrically.
Preform operations on vectors, and describe various properties of these operations.
Work with vector equations of a plane.
Applications of vectors.
Useful Links and Videos
Mod 6: Chapter 10: Complex Numbers
Review concepts of complex numbers.
Write complex numbers in polar form, find powers and roots, and study applications.
Useful Links and Videos
Mod 7: Chapter 11: Probability Distributions
Study axiomatic probability systems.
Solve problems related to probability distributions including binomial and normal.
Solve problems related to continuous random variables.
Find expected value.
Chapter 1: Sequences, Series and Proofs
Useful Links and Videos
Functions: Function notation and dependence, Domain and Range, Functions and Graphs, Invertible Functions, VLT and 1:1, Intercepts from an equation, Key features from functions, Key features from graphs,
Piecewise-Defined Functions: Piecewise Functions,
Examples of Linear Quadratic and Exponential Functions,
Linear: Writing Linear Equations,
Quadratic: Identifying Quadratics, Forms of Quadratics, Quadratics and Transformations, Converting between forms of quadratics, Factoring trinomials,
Equations: Solving quadratics, Quadratic Formula,
Systems: Consistent and Inconsistent, Substitution, Elimination,
Transformations: Types of transformations,
Chapter 2: Functions
Understand the concept of a function, and function notation.
Interpret functions that arise in application in terms of their context.
Analyze functions using different representations.
Build a function that models a relationship between two quantities.
Attend to precision.
Look for and make use of structure.
Useful Links and Videos
Equations: Solving quadratics, Quadratic Formula,
Systems: Consistent and Inconsistent, Substitution, Elimination,
Transformations: Types of transformations,
Chapter 3: Complex Numbers
Solve quadratic equations and inequalities.
Simplify expressions involving complex numbers.
Find complex roots of polynomial functions, Fundamental theorem of Algebra.
Review equations, inequalities and systems.