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Introduction to Calculus
Precalculus Condensed Summer Course
Dr. Wang, Ph.D., Math and Physics
Average rating:3.0Number of reviews:(2)
In this 10-session summer course, students will learn the most important topics of Precalculus to prepare them for the Calculus course.
Class experience
Follows Teacher-Created Curriculum
Aligned with Advanced Placement (AP) Standards
Welcome to Precalculus! In this course, we embark on an exciting journey through the fundamental principles of mathematics that serve as the gateway to higher-level mathematical thinking. Precalculus serves as a bridge between the concrete concepts of algebra and the abstract realms of calculus, providing students with the tools and techniques they need to tackle complex mathematical problems with confidence. Throughout this condensed summer course, students will delve into various topics,...
10 lessons//5 Weeks
Week 1Lesson 1FunctionsIntroduction to functions Function notation Domain and range Operations on functions (addition, subtraction, multiplication, division) Composite functionsLesson 2Linear FunctionsSlope-intercept form Point-slope form Parallel and perpendicular lines Applications of linear functionsWeek 2Lesson 3Quadratic FunctionsStandard form, vertex form, and factored form Graphing quadratic functions Solving quadratic equations (factoring, completing the square, quadratic formula)Lesson 4Polynomial FunctionsDegree of polynomials Polynomial long division and synthetic division Remainder theorem and factor theorem Rational root theoremWeek 3Lesson 5Exponential and Logarithmic FunctionsExponential functions: properties and graphing Logarithmic functions: properties and graphing Solving exponential and logarithmic equationsLesson 6Trigonometric Functions (Part 1)Introduction to trigonometry Trigonometric ratios (sine, cosine, tangent) Trigonometric functions of special angles Unit circleWeek 4Lesson 7Trigonometric Functions (Part 2)Graphs of trigonometric functions Amplitude, period, phase shift, and vertical shift Inverse trigonometric functions Applications of trigonometric functionsLesson 8Trigonometric IdentitiesFundamental trigonometric identities Pythagorean identities Sum and difference identities Double angle and half angle identitiesWeek 5Lesson 9Systems of EquationsSolving systems of linear equations (graphical, substitution, elimination) Solving systems of nonlinear equations Applications of systems of equationsLesson 10Conic Sections
Homework Offered
Homework problems will be assigned at the end of each session for students to practice and solidify the content that was covered in class.0 - 1 hours per week outside of class
Assessments Offered
Grades Offered
Average rating:3.0Number of reviews:(2)
Hello! I am Dr. Wang! I have a Ph.D. degree in Aeronautical Engineering from a top school in the United States. I have 10+ years of experience teaching classes to college students and high school students. I enjoy teaching STEM subjects to...
Group Class
$60
weekly or $300 for 10 classes2x per week, 5 weeks
40 min
Live video meetings
Ages: 13-18
3-12 learners per class
