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Last Modified : 18.02.2024
MATH 158 - Calculus for Engineering II |
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Semester: |
2023-2024 Spring |
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Instructors: |
Åžeyma BilazeroÄŸlu |
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Course Description: |
Sequences, Infinite Series, Alternating Series, Power Series, Taylor and Maclaurin Series, Vectors, Lines and Planes in Space, Vector Valued Functions, Functions of Several Variables, Partial Derivatives, Directional Derivatives, Extreme Values, Lagrange Multipliers, Double Integrals, Triple Integrals. |
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Textbook: |
Calculus: A Complete Course, 7th. ed., R. A. Adams and C. Essex, Pearson, 2010. |
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Reference Books: |
• Calculus, Early Transcendental Functions, 3rd. ed., R. Smith and R. Minton, McGraw-Hill, 2007. |
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• Thomas’ Calculus, 12th edition (Early Transcendentals), G. B. Thomas, Jr., M. D. Weir and J. Hass, Pearson, 2010. |
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Evaluation Criteria |
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Midterm: |
TBA (40%) |
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Final: |
TBA (60%) |
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Grading Policy: |
Course Grade Coefficient Score Range |
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AA 4.00 90-100 |
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BA 3.50 85-89 |
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BB 3.00 80-84 |
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CB 2.50 70-79 |
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CC 2.00 60-69 |
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DC 1.50 50-59 |
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DD 1.00 45-49 |
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FD 0.50 35-44 |
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FF 0.00 0-34 |
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Tentative Course Schedule |
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Week |
Dates |
Chapter(s) |
Topic(s) |
1 |
19-25 |
9.1 |
Sequences and Convergence |
2 |
26 Feb-3 March |
9.3 |
Convergence Tests for Positive Series |
3 |
4-10 |
9.4 |
Absolute and Conditional Convergence |
4 |
11-17 |
9.5 |
Power Series |
5 |
18-24 |
9.7 |
Applications of Taylor and Maclaurin Series |
6 |
25-31 |
10.2 |
Vectors |
7 |
1-7 |
10.4 |
Planes and Lines |
MIDTERM EXAMINATION |
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8 |
8-14 |
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Ramadan Feast (No class at this week) |
9 |
15-21 |
12.2 |
Limits and Continuity in Higher Dimensions |
10 |
22-28 |
12.3 |
Partial Derivatives |
11 |
29 Apr- |
12.7 |
Gradients and Directional Derivatives |
12 |
6-12 |
13.1 |
Extreme Values |
13 |
13-19 |
14.1 |
Double Integrals |
14 |
20-26 |
14.4 |
Double Integrals in Polar Coordinates |
15 |
27-31 |
14.5 |
Triple Integrals in Rectangular Coordinates |
FINAL EXAMINATION |
For the announcements and the details of the course check webonline course page.