COURSE. Code. Name. Level. Year. Semester. MTH-101. Calculus-1.
Undergraduate ... Calculus A Complete Course, Sixth edition, Robert A. Adams,
Pearson.
FACULTY OF ENGINEERING COURSE Code MTH-101
Name Calculus-1
Level Undergraduate
Status
Number of ECTS Credits
Class Hours Per Week
Obligatory
5
1+2+2
Year
Semester 2012-fall Total Hours Per Semester
2012-2013
15+30+30
Instructor: Assis. Prof Dr. Ali Sahin E-mail Address:
[email protected] Working Time: Monday-Wednesday-Friday
1. LEARNİNG OBJECTIVES AND GOALS
Expand understanding of mathematical topics that may have been previously studied. Introduce and explore topics that possibly have not been part of the student’s mathematical experience. Develop an appreciation for the development of mathematical thought and the contributions that mathematics has made to our world. To learn the application of mathematics in real life problems and analyzing the results.
2. GRADING POLICY
Mid-Term Exams % 50 Final Exam %50
3. COURSE READINGS AND TEXTS
1- Thomas's Calculus, Eleventh edition, Pearson International edition; Calculus A Complete Course, Sixth edition, Robert A. Adams, Pearson Addison Wesley. 2- Calculus with analytic geometry, R.A.SILVERMAN, Prentice Hall, 1985. 3- Calculus, R.A. ADAMS, Addison-Wesley Longman, 2003.
4.
LANGUAGE OF INSTRUCTION
English
5. SCHEDULE OF LECTURES AND READİNGS Class Hours
Topic
Week 1
5
Preliminaries: Functions and graphs
Week 2
5
Preliminaries: Inverse functions and trigonometric functions
Week 3
5
Limits and Continuity: Limits, limits involving infinity
Week 4
5
Limits and Continuity: Continuity and tangent lines
Week 5
5
Derivatives: Rate of change
Week 6
5
Derivatives: Derivative rules and properties
Week 7
5
Derivatives: Chain rule & implicit derivative.
Week 8
5
Application of Derivatives: Extreme values, mean value theorem
Week 9
5
Mid-term
Week 10
5
Application of Derivatives: Concavity and Curve Sketching
Week 11
5
Week 12
5
Week 13
5
Integration: The fundamental theorem of calculus
Week 14
5
Integrals and transcendental functions
Week 15
5
Review
Application of Derivatives: Indeterminate forms and L’Hospital rule Integration: Estimating with finite sums, Riemann sum, the definite integral
Method Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions Lectures, Recitation, Practical Sessions
Reading Thomas's Calculus, Eleventh edition, Pearson International edition; Calculus A Complete Course, Sixth edition, Robert A. Adams, Pearson Addison Wesley.
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