Calculus I: Differentiation

Course snapshot

Learning Outcomes

1. 1

   Differentiate polynomial, rational, trigonometric, exponential, logarithmic, and composite functions.

2. 2

   Apply the product rule, quotient rule, chain rule, and combinations of rules correctly.

3. 3

   Use implicit differentiation to find dy/dx for equations involving both x and y.

4. 4

   Calculate higher-order derivatives and interpret the second derivative in graph and motion problems.

5. 5

   Understand introductory partial derivatives for functions of more than one variable.

6. 6

   Use derivatives to find tangent lines, normal lines, stationary points, concavity, maximum and minimum values, and rates of change.

7. 7

   Solve university exam-style differentiation problems using clear, logical steps.

Who Should Take This Course

• Year 1 university students taking Calculus for Engineering Mathematics.
• Students who understand basic algebra and functions but need stronger differentiation skills.
• Students preparing for quizzes, midterm exams, final exams, or foundation tests.
• Students in engineering, science, economics, business, computer science, and data science.
• Students who want step-by-step methods for university-style calculus questions.