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Achieve Excellence in Calculus AB

Achieve Excellence in Calculus AB

Live Course

Live Class: Monday, 06 Jan

Enrolled: 0

Duration: 24 Hours

Sessions: 8 classes per month

Offered by: infyni

Live Course
$15.12 /Per Month $25.20 40% off

$1.89 /Per Hour

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About Course

AP Calculus AB is an introductory college-level calculus course that explores concepts of limits, derivatives, integrals, and their applications. Students learn to solve problems involving rates of change, motion, optimization, and accumulation while building a strong foundation in analytical and mathematical reasoning.

Skills You Will Gain

Understand and analyze limits, continuity, and asymptotic behavior Apply differentiation techniques, including for composite, implicit, and inverse functions Solve problems involving motion, rates of change, and related rates Use integration to calculate accumulated change, areas, and volumes Model and solve differential equations for exponential growth and decay Apply theorems like Mean Value and Fundamental Theorem of Calculus

Course Offerings

  • Instructor Led Live sessions
  • Clarify doubts during session
  • Access Session Recordings
  • Attend on mobile and Tablet
  • Assessments and Competition
  • Direct Messages
  • Feedback from Instructor
  • Full lifetime Resources
  • Certificate of Completion
  • Topics
  • Instructor (1)
1 Unit 1: Limits and Continuity
  • How limits help us handle change at an instant
  • Definition and properties of limits in various representations
  • Definitions of continuity of a function at a point and over a domain
  • Asymptotes and limits at infinity
  • Squeeze Theorem and Intermediate Value Theorem
  • Defining the derivative of a function at a point and as a function
  • Connecting differentiability and continuity
  • Determining derivatives for elementary functions
  • Applying differentiation rules
  • Chain rule for differentiating composite functions
  • Implicit differentiation
  • Differentiation of general and particular inverse functions
  • Higher-order derivatives of functions
  • Identifying mathematical information in real-world rate-of-change problems
  • Applying differentiation to motion problems
  • Generalizing motion problems to other rate-of-change situations
  • Solving related rates problems
  • Local linearity and approximation
  • L’Hospital’s rule
  • Mean Value Theorem and Extreme Value Theorem
  • Derivatives and properties of functions
  • First derivative test, second derivative test, and candidates test
  • Sketching graphs of functions and their derivatives
  • Solving optimization problems
  • Behaviors of implicit relations
  • Using definite integrals for accumulated change
  • Approximating integrals using Riemann Sums
  • Accumulation functions, Fundamental Theorem of Calculus, and definite integrals
  • Antiderivatives and indefinite integrals
  • Properties of integrals and integration techniques
  • Interpreting change as separable differential equations
  • Sketching slope fields and solution curves
  • Solving separable differential equations
  • Exponential growth and decay models
  • Determining the average value of a function
  • Modeling particle motion
  • Solving accumulation problems
  • Finding the area between curves
  • Determining volume using cross-sections, disc method, and washer method

...
Sriilalit Narayana Chintalapati
About Instructor

I am a post graduate in Engineering , and a Law Graduate . I have over 40 years of work experience , of which 20 years is in teaching as Associate Prof and Head of the Dept. I did hold the additional charge of Training and Placement. I am well versed in English , Hindi and Telugu. I am interested in Sanskrit Language and Carnatic Music.

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