Calculus Tutoring
Calculus Tutoring in Chateau Elan
Gwinnett Math Tutoring’s Calculus course is designed to provide a deep understanding of calculus concepts and prepare you for advanced mathematics in college or professional studies in the Chateau Elan area.
 Core Calculus Concepts: The course covers essential calculus concepts including:
 Reviewing functions and graphs
 Understanding limits and continuity
 Exploring derivatives and their applications
 Learning about differential equations and mathematical modeling
 Studying definite integrals and their applications
 Diving into infinite series and advanced calculus topics
 Mathematical Skills: Emphasis is placed on developing problemsolving skills, understanding mathematical models, and applying calculus concepts to realworld situations.
 Preparation for Advanced Calculus: The curriculum is meticulously structured to prepare students for more complex topics in calculus and to support academic success in future mathematical endeavors.
Tutoring Curriculum
Hey there! Are you ready to dive into our Calculus course at Gwinnett Math Tutoring? This course is designed to enhance your understanding of calculus and prepare you for advanced mathematical studies. Here’s what you’ll be learning:

Topic 1 – Functions Review
 Lines; Functions and graphs; Exponential functions; Parametric equations; Functions and logarithms; Trigonometric functions.

Topic 2 – Limits and Continuity
 Rates of change and limits; Limits at infinity; Continuity; Rates of change and tangent lines.

Topic 3 – Derivatives
 Differential functions; Rules for differentiation; Velocity and rates of change; Chain rule; Implicit differentiation; Derivatives of inverse trigonometric functions; Derivatives of exponential and logarithmic functions.

Topic 4 – Applications of Derivatives
 Extreme values of functions; Mean value theorem; First and second derivatives; Modeling and optimization; Newton’s method; Related rates.

Topic 5 – The Definite Integral
 Estimating with finite sums; Definite integrals; Antiderivatives; Fundamental theorem of calculus; Trapezoid rule.

Topic 6 – Differential Equations and Mathematical Modeling
 Slope fields and Euler’s method; Antidifferentiation by parts; Exponential growth and decay; Logistic growth.

Topic 7 – Applications of Definite Integrals
 Integral as a net change; Areas in the plane; Volume; Length of curves; Scientific applications and statistics.

Topic 8 – L’Hopital’s Rule and Improper Integrals
 Sequences; L’Hopital’s Rule; Relative rates of growth; Improper integrals.

Topic 9 – Infinite Series
 Power series; Taylor series; Taylor’s theorem; Radius of convergence.

Topic 10 – Parametric, Vector, and Polar Functions
 Parametric functions; Vectors; Polar functions.

Topic 11 – Extended Explorations
 Induction; Hyperbolic functions.
Each topic includes engaging lectures, plenty of practice problems, group activities, and a quiz to test your understanding. Homework assignments will reinforce what we learn in class, and I’ll be available to provide extra help whenever you need it. For those looking for a greater challenge, there are additional resources to explore.
Are you ready to enhance your math skills and conquer Calculus? Let’s start this journey together and achieve great success!
Business Hours
MONDAYTHURSDAY 10:00AM  9:30PM
FRIDAY 12:00PM  6:00PM
SATURDAYSUNDAY BY APPOINTMENT
Gwinnett Math Tutoring is closed for Gwinnett County Schools major breaks.
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