Calculus for Engineering (2)

Calculus 2 for Engineering

MTH1181 Calculus for Engineering (1)

4 hours No requisites

1 Review of the Fundamental Theorem of Calculus

2 Transcendental functions: natural logarithm, inverse functions and their derivatives, natural exponent function, general exponent and logarithm functions, inverse trigonometric functions and their derivatives, and hyperbolic functions and their inverses

3 Techniques of integration: basic integration rules, integration by parts, some trigonometric integrals, rationalizing substitutions, integration by parts, and integration of rational functions using partial functions

4 Indeterminate forms: type 0/0, other forms, improper integrals: infinite limits of integrals, and infinite integrals

5 Applications of the definite integral: areas of plane region, volumes of solids, volume of solids of revolution, and length of plane curve

6 Infinite Series: Infinite Sequences; Infinite Series; Positive Series; Alternating Series, Absolute Convergence, and Conditional Convergence;

1.1 Mapped to: K1

An ability to identify and explain the broad in-depth knowledge and comprehension of Fundamental Theorems of Calculus, Differentiate and integrate transcendental functions, inverse trigonometric, and hyperbolic functions.

Teaching Strategy One or more of the following strategies may be used: • Classroom lectures • PowerPoint slides • Reading assignments

Assessment Methods One or more of the following strategies may be used: • Written exams, • Home assignments • Oral questions

2.1 Mapped to: S1

An ability to identify, formulate, and solve problems in: advanced integration techniques, such as integration by parts, trigonometric substitution, and partial fraction decomposition, improper integrals, convergence or divergence of infinite sequences and series using appropriate convergence test

Teaching Strategy Lectures