Robert A. Adams and Christopher Essex. Calculus: A complete course, 8th edition, Pearson Publ., 2013.
Other Sources
Weir and Hass, Thomas' Calculus, Thirteen Edition, 2016, Pearson Publication.
Course Schedules
Week
Contents
Learning Methods
1. Week
5.1 Sums and Sigma Notation
5.2 Areas as limits of Sums
Lectures and Recitations
2. Week
5.3 The Definite Integral
5.4 Properties of the Definite Integral
Lectures and Recitations
3. Week
5.5 The Fundamental Theorem of Calculus
5.6 The Method of Substitution
Lectures and Recitations
4. Week
5.7 Areas of Plane Regions
6.1 Integration by Parts
Lectures and Recitations
5. Week
6.2 Integration of Rational Functions
Lectures and Recitations
6. Week
6.3 Inverse Substitutions
Lectures and Recitations
7. Week
6.5 Improper Integrals
Lectures and Recitations
8. Week
7.1 Volumes by Slicing-Solids of Revolution
7.3 Arc Length and Surface Area
Lectures and Recitations
9. Week
8.2 Parametric Curves
8.4 Arc Lengths and Areas for Parametric Curves
Lectures and Recitations
10. Week
8.5 Polar Coordinates and Polar Curves
8.6 Slopes, Areas, and Arc Lengths for Polar Curves
Lectures and Recitations
11. Week
9.1 Sequences and Convergence
9.2 Infinite Series
Lectures and Recitations
12. Week
9.3 Convergence Tests for Positive Series
Lectures and Recitations
13. Week
9.4 Absolute and Conditional Convergence
Lectures and Recitations
14. Week
9.5 Power Series
9.6 Taylor and Maclaurin Series
Lectures and Recitations
15. Week
Final Exam Week
16. Week
Final Exam Week
17. Week
Final Exam Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Quizzes
10
20
Final Exam
1
40
Program Outcomes
PO-1
Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems.
PO-2
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose.
PO-3
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues according to the nature of the design.)
PO-4
Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively.
PO-5
Ability to design and conduct experiments, gather data, analyze and interpret results for investigating engineering problems.
PO-6
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually.
PO-7
Ability to communicate effectively, both orally and in writing; knowledge of a minimum of one foreign language.
PO-8
Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself.
PO-9
Awareness of professional and ethical responsibility.
PO-10
Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development.
PO-11
Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions.
Learning Outcomes
LO-1
Discuss and explain antiderivatives, the indefinite integral, sums and sigma notation, and areas as limits of sums
LO-2
Identify the definite integral and properties of it
LO-3
Describe the Fundamental Theorem of Calculus, the method of substitution, and integration by parts
LO-4
Explain integrals of rational functions and inverse substitutions
LO-5
Identify areas of plane regions
LO-6
Express improper integrals
LO-7
Identify volumes by slicing and Solids of revolution; discuss the arc length and surface area
LO-8
Explain parametric curves, smooth parametric curves and their slopes, and arc lengths and areas for parametric curves
LO-9
Analyze polar coordinates and polar curves
LO-10
Identify slopes, areas, and arc lengths for polar curves
LO-11
Describe sequences and convergence
LO-12
Analyze infinite series, convergence tests for positive Series, and absolute and conditional convergence
LO-13
Explain and discuss power series, and Taylor and Maclaurin series
