MTH 114 Calculus

ND1 levelEngineering & Technology15 topics

MTH 114 covers 15 topics. StudyPath paces them into daily study sessions that finish before your exam date, with practice questions and worked answers for each one.

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Course outline

The topics this course covers, in teaching order.

Techniques of integration
Partial fractions
Reduction formula for trigonometric and logarithmic integrals
Standard integrals
Applications of integration
Arc length and areas
Volumes of revolution
Centres of gravity and surface area
Second moment and moment of inertia
Numerical integration: Trapezoidal rule
Numerical integration: Simpson’s rule
Integration in kinematics
First-order differential equations
Homogeneous and exact differential equations
Partial differentiation

A sample from this course

One topic, as StudyPath teaches it.

Techniques of integration

Techniques of integration cover systematic methods to evaluate integrals that cannot be solved by elementary antiderivatives alone. Mastery of substitution, integration by parts, partial fractions, trigonometric integrals, trigonometric substitution, and reduction formulas is essential for the NUC CCMAS, NBTE, and NCCE exams because they provide the tools to tackle a wide range of integrals encountered in…

What you get for MTH 114

Every topic above, split into sessions and dated against your exam.
Practice questions per session, with answers that explain themselves.
Offline reading — the whole course is a few hundred KB on your phone.
An AI tutor that answers questions using this course's own material.

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