Robert A. Adams and Christopher Essex (2013). Calculus: A Complete Course, 8th Edition. Pearson Canada.
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
Lecture and Recitations
2. Week
5.3 The Definite Integral
5.4 Properties of the Definite Integral
Lecture and Recitations
3. Week
5.5 The Fundamental Theorem of Calculus
5.6 The Method of Substitution
Lecture and Recitations
4. Week
5.7 Areas of Plane Regions
6.1 Integration by Parts
Lecture and Recitations
5. Week
6.2 Integration of Rational Functions
Lecture and Recitations
6. Week
6.3 Inverse Substitutions
Lecture and Recitations
7. Week
6.5 Improper Integrals
Lecture and Recitations
8. Week
7.1 Volumes by Slicing-Solids of Revolution
7.3 Arc Length and Surface Area
Lecture and Recitations
9. Week
8.2 Parametric Curves
8.4 Arc Lengths and Areas for Parametric Curves
Lecture and Recitations
10. Week
8.5 Polar Coordinates and Polar Curves
8.6 Slopes, Areas, and Arc Lengths for Polar Curves
Lecture and Recitations
11. Week
9.1 Sequences and Convergence
9.2 Infinite Series
Lecture and Recitations
12. Week
9.3 Convergence Tests for Positive Series
Lecture and Recitations
13. Week
9.4 Absolute and Conditional Convergence
Lecture and Recitations
14. Week
9.5 Power Series
Lecture and Recitations
15. Week
9.6 Taylor and Maclaurin Series
Lecture and Recitations
16. Week
Final Exam Week
17. Week
Final Exam Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Homework / Term Projects / Presentations
10
20
Final Exam
1
40
Program Outcomes
PO-1
Ability to apply theoretical and practical knowledge gained by Mathematics, Science and their engineering fields and ability to use their knowledge in solving complex engineering problems.
PO-2
Ability of determining, defining, formulating and solving complex engineering problems; for that purpose develop the ability of selecting and implementing suitable models and methods of analysis.
PO-3
Ability of designing a complex system, process, device or product under real world constraints and conditions serving certain needs; for this purpose ability of applying modern design techniques
PO-4
Ability of selecting and using the modern techniques and devices which are necessary for analyzing and solving complex problems in engineering implementations; ability of efficient usage of information technologies.
PO-5
Ability of designing experiments, conducting tests, collecting data and analyzing and interpreting the solutions to investigate of complex engineering problems or discipline-specific research topics.
PO-6
Ability of working efficiently in intra-disciplinary and multi-disciplinary teams; individual working ability and habits.
PO-7
Ability of verbal and written communication skills; and at least one foreign language skills, ability to write effective reports and understand written reports, ability to prepare design and production reports, ability to make impressive presentation, ability to give and receive clear and understandable instructions
PO-8
Awareness of importance of lifelong learning; ability to access data, to follow up the recent innovation in science and technology for continuous self-improvement.
PO-9
Conformity to ethical principles; knowledge about occupational and ethical responsibility, and standards used in engineering applications.
PO-10
Knowledge about work life implementations such as project management, risk management and change management; awareness about entrepreneurship and innovativeness; knowledge about sustainable development.
PO-11
Knowledge about effects of engineering applications on health, environment and security in global and social dimensions, and on the problems of the modern age in engineering; awareness about legal outcomes 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
