# Calculus BC

Please note that RMXplore's Math Bytes Courses are not
currently open for registration
.

### 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

### 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    