MAT1320
Calculus I
Intuitive definition of limits; continuity, statement of intermediate value theorem. Quick review of basic derivative formulas: products, chain rule, exponentials, and trigonometric functions. Derivatives of quotients, logarithms, inverse trigonometric functions. Finite difference approximations of derivatives. Analysis of functions via the first and the second derivatives; statements of extreme and mean value theorems. L'Hospital's rule. Implicit differentiation, related rates, optimization, linear approximation, Newton s method. The definite integral and the fundamental theorem of calculus. Antiderivatives of elementary functions, techniques of integration (integration by parts, substitutions, partial fractions). Numerical integration: mid-point, trapezoidal rule and Simpson's rule; error analysis.
Available Tutors
Emily is passionate about applying engineering principles to healthcare challenges. She excels at explaining complex scientific concepts and enjoys working through design problems collaboratively. Her sessions focus on practical application and critical thinking.
Earliest availability: 2026/02/11 13:00H
Michael is proficient in structural analysis and design. He prefers to explain concepts through practical problems and encourages students to develop their own analytical skills. His sessions are geared towards hands-on learning.
Earliest availability: 2026/02/10 13:00H
Kevin finds joy in demystifying economic theories and models. He employs real-world news and policy examples to make abstract concepts concrete. His sessions encourage critical analysis and application of economic principles.
Earliest availability: 2026/02/10 11:00H
Ethan is adept at simplifying complex mathematical concepts and building strong foundational understanding. He emphasizes problem-solving strategies and encourages a deep comprehension of theory. His sessions are analytical and methodical.
Earliest availability: 2026/02/10 14:00H