Math Bytes:

Calculus BC

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Calculus BC

Coming Soon!
Course Pricing:
  • Online : $260
  • Houston Center : $320
  • Cupertino Center : $400
Course Logistics:
Duration : to be updated
Number of Classes: 5 weeks course
Occurs : to be updated
Registration Opening Soon!

Math Byte Course Topics:

Course Topics are organized as six modules with five granular topics covered under each module. Click through below to see all modules/topics for this course.

01 - Limits/Derivatives

  • Riemann Sums
  • Integration by Substitution, Trigonometric Substitutions
  • Integration by Parts
  • Partial Fraction Decomposition
  • Improper Integrals and Definite Integral Manipulations

02 - Evaluating Integrals

  • Riemann Sums
  • Integration by Substitution, Trigonometric Substitutions
  • Integration by Parts
  • Partial Fraction Decomposition
  • Improper Integrals and Definite Integral Manipulations

03 - Applications of Integration

  • Average Value of a function, Mean Value Theorem, Intermediate Value Theorem
  • Areas of Bounded Regions
  • Solids of Revolution, Solids with Cross Sections
  • Arc Length
  • Moment of Inertia

04 - Differential Equations

  • Introducing Differential Equations
  • Euler's Method of Approximations and Slope Fields
  • Solving Separable Differential Equations
  • Logistic and Exponential Functions
  • Modeling / Population Growth

05 - Parametric and Polar

  • Derivatives of Parametric and Vector Valued Functions
  • Accumulation of Change with Definite Integrals, Integration to find position of a particle
  • Speed, Velocity Vectors, and Acceleration Vectors of a particle
  • Derivatives of Polar Functions, Introduction to finding areas bounded by polar functions
  • Areas of regions bounded by polar curves

06 - Sequences and Series

  • Definition of Convergence, Absolute Convergence, Conditional Convergence with Limits
  • Basis types of series (Geometric, Harmonic, p-series), Convergence and Divergence tests
  • Alternating Series Error Bound, Approximating convergent series
  • Introduction to Taylor and Maclaurin Series, Interval and radius of convergence
  • Taylor's Theorem, Lagrange Error Bound, Calculating and Manipulating power series with derivatives and integrals
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