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Precalculus

This course explores the basic properties of functions, conic sections, matrices and determinants, introductory trigonometry,and probability. It weaves together algebra, geometry, and mathematical functions in order to prepare one for Calculus.
Functions
Powers and Polynomial
Rational Numbers
Logarithms
Exponential Functions
Trigonometry
Parametric Equations
Vectors
3D Vectors
Polar Coordinates
Matrices And Systems
Conic Sections
Discrete Maths
Probability
Sequences And Series
15 topics
337 lectures
0%

Calculus 1 / AB

Calculus 1 deals with exploring functions of single variables. One of the main/major topics that is emphasized in this course is differentiation. Lot of the content of this course involves problem solving and applications. Topics covered in this course include limits, continuity, derivative rules, optimization, and related rates.
Precalculus Review
Limits
Derivatives
Applications of the Derivative
Integrals
5 topics
163 lectures
0%

Calculus 2 / BC

Calculus 2 involves computing the area of curves. Topics explored in this course include integrals, Riemann sums, techniques of integration, improper integration, differential equations, and Taylor series.
Integration Review
Area Between Curves
Volume
Arc Length and Surface Area
Integration Techniques
Trig Integrals
Trig Substitution
Integrating Rational Functions
Improper Integrals
Sequences
Series
Series Tests
Comparison Tests
Root and Ratio Tests
Alternating Series Test
Converge Or Diverge Review
Power Series
Taylor Series
Parametric Equations
Polar Coordinates
20 topics
73 lectures
0%

Calculus 3

Topics explored in this course includes vector and vector functions in 2D and 3D, multivariable differential calculus, and double integrals in both the Cartesian and Polar coordinate planes.
Vectors
The Dot Product
The Cross Product
Lines and Planes in Space
Vector Valued Functions
Multivariate Functions
Multivariable Optimization
Multiple Integrals
Vector Fields
9 topics
121 lectures
0%