Course Outline for Year 1 University Students
<p>Master the core techniques and applications of calculus with clear explanations, step-by-step examples, and exam-style practice.</p>
Created by Kru Ake Last updated 8/2026 English
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Main Output
Differentiate polynomial, rational, trigonometric, exponential, logarithmic, and composite functions.
Apply the product rule, quotient rule, chain rule, and combinations of rules correctly.
Use implicit differentiation to find dy/dx for equations involving both x and y.
Calculate higher-order derivatives and interpret the second derivative in graph and motion problems.
Understand introductory partial derivatives for functions of more than one variable.
Use derivatives to find tangent lines, normal lines, stationary points, concavity, maximum and minimum values, and rates of change.
Solve university exam-style differentiation problems using clear, logical steps.
Chapter quizzes, practice tests, and a final mock exam are included to help you test your understanding.
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Kru.Ake is a specialist in Mathematics and Technology, with extensive experience teaching students in both Thai and international curricula. He specializes in preparing students for admission to leading universities in Thailand and abroad, as well as mathematics competitions, entrance examinations, and university-level coursework. Through a structured and analytical teaching approach, he helps students strengthen their problem-solving skills, develop logical thinking, and achieve outstanding academic performance.
Start learning with clear explanations and guided practice.
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