Derivatives of Logarithmic Functions / Inverse Trigonometric Functions
Lecture
11. Week
Hyperbolic Functions / Indeterminate Forms and l'Hospital's Rule
Lecture
12. Week
Maximum and Minimum Values / The Mean Value Theorem / Midterm Exam-2 (December 08, 2012)
Lecture, Exam
13. Week
How Derivatives Effect the Shape of a Graph / Limits at Infinity; Horizontal Asymptotes
Lecture
14. Week
Summary of Curving Sketching
Lecture
15. Week
Final Exams Week
Exam
16. Week
Final Exams Week
Exam
17. Week
Final Exams Week
Exam
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
2
60
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 modelling 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, analyse 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 the real numbers and the real line, cartesian coordinates in the plane, graphs of quadratic equations
LO-2
Identify functions and their graphs to combine functions to make new functions, polynomials and rational functions.
LO-3
Describe the trigonometric functions, inverse functions, the inverse trigonometric functions
LO-4
Explain exponential and logarithmic functions, the natural logarithm and exponential
LO-5
Identify limits of functions, limits at infinity and infinite limits
LO-6
Express the role continuity
LO-7
Use tangent lines and their slopes, the derivative and the differentiation rules
LO-8
Explain the importance of the Chain Rule; identify the derivatives of trigonometric functions, inverse functions, exponential and logarithmic functions, the Inverse Trigonometric Functions; use the higher-order derivatives
LO-9
Analyze the Mean Value Theorem and use implicit differentiation
LO-10
Identify the indeterminate forms and resolve them using l'Hopital's Rule
LO-11
Identify extreme values and solve the extreme-value problems
LO-12
Identify concavity and inflections
LO-13
Explain and discuss sketching the graph of a function
