Precalculus (Self-paced)

24 lectures with Video Lessons (36 hours in total), Lecture Notes and Assignments, One-year Access

Course Description

The Precalculus course covers the topics of trigonometry, parametric equations, special coordinate systems, complex numbers, exponential form of complex numbers, De Moivre's Theorem, roots of unity, and geometry with complex numbers. It is intended to be beneficial for students seeking to excel in their school math curriculum as well as for those aiming to excel in math competitions. This course consists of 24 1.5-hours lectures taught by Dr. Shi. Students are expected to complete homework assignments after each lecture, answer keys for worksheets are provided. Student should use the solution manual for questions from AoPS textbook.

Prerequisite

Completion of the Intermediate Algebra course and Intro to Geometry or similar programs is recommended to ensure that students have the necessary algebra and geometry background.
Textbook and Supplementary Materials

• Lecture Notes • AoPS Precalculus and solution manual • Linear Algebra and Its Applications Fifth Edition, David C. Lay, Steven R. Lay, Judi J. Mcdonald, ISBN: 978-0-321-98238-4. • Youtube, Kutasoftware.com
Signature Feature

We have added exclusive, enriched content to the materials covered by the AoPS book to increase the effectiveness of learning. Our teaching approach is distinctive in its emphasis on integrating various topics coherently, which simplifies complex concepts and makes them easier to grasp.

Course Syllabus

Self-paced - Precalculus.pdf

Course curriculum

1. Guideline and Syllabus
  FREE PREVIEW
1. Chapter 1: Functions Review
  FREE PREVIEW
1. Chapter 2: Intro to Trigonometric Functions
1. Chapter 2: Intro to Trigonometric Functions Cont.
1. Chapter 2 Intro to Trigonometric Functions Cont.
1. Chapter 3: Trig Identities - Sum and Difference identities
1. Chapter 3 Trig Identities - Product to Sum, Sum to Product, double and half angle formulas
1. Chapter 4 Establishing Trig Identities and Solving Triangles
1. Chapter 4: Law of Sine and Law of Cosine
1. Chapter 5: Parametric Equations
1. Chapter 5: Parametric Equations and Polar Coordinates
1. Chapter 6: Complex Numbers Intro
1. Chapter 6: Complex Numbers with trigonometry
1. Chapter 7: Polar form and Roots of Unity
1. Chapter 9: Vectors Intro
1. Chapter 8: Complex numbers and vectors
1. Chapter 9: Parametric lines and vectors
1. Chapter 10, 11: Linear combinations, Linear dependence and 3D vectors
1. Chapter 10, 11: Determinants of 2x2 and 3x3 matrices
1. Chapter 10 and 11: Applications of determinants
1. Chapter 10, 11: Linear Transformations
1. Chapter 12: Lines and Planes in the 3D space I
1. Chapter 12: Lines and Planes in the 3D space II
1. Guassian Elimination and Row Reduction I
1. Row Reductions and Echelon Form II

About this course

$549.00
25 lessons
36.5 hours of video content

da Vinci Math