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Tafila Technical University جامعة الطفيلة التقنية
Faculty of Science كلية العلوم
Department of Mathematics قسم الرياضيات
COURSE TITLE: Calculus II (0203102). OFFERED SEMESTER: First 2020/2021.
CREDIT HOURS: 3. PREREQUISITE: Calculus I (0203101).
CLASS MEETINGS: Sun-Tue-Thu 04:00 - 05:00 PM CLASSROOM: Online
TEXTBOOK: Anton, Howard, Irl C. Bivens and Stephen Davis. Calculus, John Wiley & sons, 2012
OTHER REFERENCE:
Stewart, James. Calculus, free edition, 2015.
COURSE DESCRIPTION:
This course provides a thorough introduction to integral calculus as well as differentiation and integration
of exponential, logarithmic, and trigonometric functions. We will be continuing where you left off in 1st-
semester Calculus. We will expand the class of functions with which you can use derivatives and integrals,
expand your repertoire of integration techniques, learn how to handle indeterminate forms when calculating
limits and improper forms when evaluating integrals, learn how to analyze and evaluate infinite series. In the
end you should have a full understanding of the basic concepts and techniques of single-variable calculus.
COURSE OBJECTIVES:
The student should emerge from this class with:
The student will demonstrate an understanding of the calculus of exponential, logarithmic, and inverse
trigonometric functions. The student will also develop a basic understanding of advanced integration
techniques, infinite sequences and series. The students will improve their ability to think critically, to
analyze a problem and solve it using a wide array of tools. These skills will be invaluable to them in
whatever path they choose to follow, be it as a mathematics major or in pursuit of a career in one of the
other sciences.
EXAMS AND GRADING
The following information shows the relative contributions to your final course grade:
ACTIVITIES PERCENTAGES
Mid Exam: / / 2020 30%
Course Work: 20%
/ 2021
Final exam* / 50%
Total 100%
* The final exam is comprehensive and will be scheduled by the registrar later
this semester
IMPORTANT DATES
* The deadline for courses Withdrawal is Mon, 04/ 01/ 2021.
** The final exam period listed in the academic calendar 05 - 14/ 01/ 2021.
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TOPICAL OUTLINE: (Includes major topics and significant subtopics)
Chapter Six: EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS
6.1 Exponential and Logarithmic Functions.
6.2 Derivatives and Integrals Involving Logarithmic Functions.
6.3 Derivatives of Inverse Functions; Derivatives and Integrals Involving Exponential
Functions.
6.4 Graphs and Applications Involving Logarithmic and Exponential Functions.
6.5 L’Hôpital’s Rule; Indeterminate Forms.
6.6 Logarithmic and Other Functions Defined by Integrals.
6.7 Derivatives and Integrals Involving Inverse Trigonometric Functions.
6.8 Hyperbolic Functions and Hanging Cables.
Chapter Seven: PRINCIPLES OF INTEGRAL EVALUATION
7.1 An Overview of Integration Methods.
7.2 Integration by Parts.
7.3 Integrating Trigonometric Functions.
7.4 Trigonometric Substitutions.
7.5 Integrating Rational Functions by Partial Fractions.
7.6 Using Computer Algebra Systems and Tables of Integrals.
7.8 Improper Integrals.
Chapter Nine: INFINITE SERIES
9.1 Sequences.
9.2 Monotone Sequences.
9.3 Infinite Series.
9.4 Convergence Tests.
9.5 The Comparison, Ratio, and Root Tests.
9.6 Alternating Series; Absolute and Conditional Convergence.
9.7 Maclaurin and Taylor Polynomials.
9.8 Maclaurin and Taylor Series; Power Series.
9.9 Convergence of Taylor Series.
9.10 Differentiating and Integrating Power Series; Modeling with Taylor Series.
