Precalculus

Summer Courses:

Intermediate Courses

Precalculus

Grade Level:
Grade 8-10
Course Dates:
July 17-Aug 11
Course Pricing:
  • $1620
Course Logistics:
Duration: 180 minutes (3 hours)
Number of Classes : 20 Classes
Occurs: Weekdays (1:30pm-4:30pm)
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Course Topics:

Course Topics are organized as six modules with five granular topics covered under each module. If a summer course offers sessions A and B, please note both sessions will cover the same content as described below. Click through below to see all modules/topics for this course.

01 - Angles and Basic Trigonometry

  • Angles and Radian Measure
  • Unit Circle
  • Trigonometric Functions
  • Graphing Trig Functions
  • Inverse Trig Functions

02 – Trigonometric Identities & Applications

  • Angle Sum Identities
  • Double and Half Angle Identities
  • Sum to Product Identities
  • Law of Sines and Cosines
  • Triangle Area Formulas

03 - Parametrization and Complex Numbers

  • Eliminating the Parameter
  • Polar Coordinates
  • Polar and Exponential Form of Complex Numbers
  • De Moivre’s Theorem
  • Roots of Unity

04 - Vectors and Matrices

  • Basic Vector Arithmetic
  • Dot and Cross Product
  • Matrix Addition and Multiplication
  • Calculating the Determinant of a Matrix
  • Gauss-Jordan Elimination

05 - Conics

  • Parabolas, Ellipses, and Hyperbolas
  • Circles
  • Identifying rotated Conics
  • Rotating a Conic using the Complex Plane
  • Conics in Polar Form

06 - Limits and Continuity

  • Rigorous definition of a limit
  • Limit laws
  • Advanced techniques for solving limit problems
  • Infinite limits
  • Continuity
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