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Main
UQU Programs

Calculus 2

MTH1102
4 hours English

Calculus 2

, Calculus 2
1 Integration: antiderivatives, the definite integral, the first and second fundamental theorem of calculus and the method of substitution, the mean value theorem for integrals and the use of symmetry
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, L'Hôpital's rule, 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 Others (Problem Solving, midterm exam and quizzes)
1.1 Mapped to: K1

develop knowledge and understanding principles of integral and apply the Fundamental Theorem of Calculus

Teaching Strategy Lectures
Assessment Methods Exams, Quizzes, Homework
1.2 Mapped to: K2

Distinguish methods for approaching integration problems

Teaching Strategy Lectures
Assessment Methods Exams, Quizzes, Homework
2.1 Mapped to: S1

Apply mathematical techniques to calculate integrals over infinite intervals

Teaching Strategy Lectures, Individual or group work
Assessment Methods Lectures, Individual or group work
2.2 Mapped to: S2

Analyze mathematical methods to approaching integration problems

Teaching Strategy Lectures, Individual or group work
Assessment Methods Lectures, Individual or group work
2.3 Mapped to: S4

Characterize the types of improper integrals and determine them convergence or divergence.

Teaching Strategy Lectures, Individual or group work
Assessment Methods Lectures, Individual or group work
2.4 Mapped to: S5

Apply the definite integral in geometry and engineering, solve these problems and interpret the solutions

Teaching Strategy Lectures, Individual or group work
Assessment Methods Lectures, Individual or group work
2.5 Mapped to: S6

Find the areas between graphs of functions, arc length, volumes, and surface areas of solids of revolutions.

Teaching Strategy Lectures, Individual or group work
Assessment Methods Lectures, Individual or group work
3.1 Mapped to: V1

Show the ability to work independently and within groups.

Teaching Strategy Lectures, Individual or group work
Assessment Methods Lectures, Individual or group work
3.2 Mapped to: V2

Working effectively in groups, demonstrating communication skills and time management

Teaching Strategy Lectures, Individual or group work
Assessment Methods Lectures, Individual or group work
Assessment
Weight
Midterm Exam
30%
Homework, Quizzes and Assignments
20%
Final Exam
50%
Total
100%