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Course title |
CALCULUS (2) |
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Semester |
113-1 |
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Designated for |
DEPARTMENT OF ECONOMICS |
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Instructor |
Pedro Nunez |
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Curriculum Number |
MATH4007 |
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Curriculum Identity Number |
201E49820 |
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Class |
10 |
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Credits |
2.0 |
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Full/Half
Yr. |
Half |
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Required/
Elective |
Preassign |
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Time |
第9,10,11,12,13,14,15,16 週
Monday 3,4(10:20~12:10) Thursday 3,4,10(10:20~18:20) |
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Remarks |
Restriction: within this department (including students taking minor and dual degree program)
The upper limit of the number of students: 160. |
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Course introduction video |
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Table of Core Capabilities and Curriculum Planning |
Table of Core Capabilities and Curriculum Planning |
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Course Syllabus
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Please respect the intellectual property rights of others and do not copy any of the course information without permission
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Course Description |
Integration of functions of a single variable together with its profound applications in various subject areas are introduced in this half semester course. More specifically, this course includes the definition of integrals, the Fundamental Theorem of Calculus, techniques of integration, applications of integrals in probability, solving elementary differential equations and more. In addition to these, series and Taylor expansions are briefly introduced at the end of this course to explain how complicated functions are approximated by polynomials. Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus in various fields are illustrated in order to promote a more organic interaction between the theory of Calculus and students' own fields of study. This course also provides discussion sessions in which students are able to improve their skills in handling calculations and explore applications of Calculus under the guidance of teaching assistants. |
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Course Objective |
Students would be familiar with Calculus as a tool and be able to apply it in various areas after finishing this course. |
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Course Requirement |
Before taking this course, students should be skilled in high school mathematics and finish the online Precalculus Self Diagnostic Test which is designed for NTU freshmen. Students are expected to attend and participate actively in lectures as well as discussion sessions. |
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Student Workload (Expected weekly study hours before and/or after class) |
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Office Hours |
Wed. 13:00~15:00 Note: Pedro Núñez (Room 448 of Astronomy-Mathematics building). For questions about this office hour, please write an email to pnunez@ntu.edu.tw |
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Designated reading |
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References |
Textbook: James Stewart, Daniel Clegg, and Saleem Watson, Calculus Early Transcendentals, 9th edition, Metric Version. ISBN: 978-0-357-11351-6. |
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Grading |
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No. |
Item |
% |
Explanations for the conditions |
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1. |
Final exam |
50% |
Date: 12/14(Sat) |
2. |
Quiz 1 |
10% |
Date: 11/14(Thu) 17:30-18:20 |
3. |
Quiz 2 |
10% |
Date: 12/5(Thu) 17:30-18:20 |
4. |
Worksheets |
10% |
Three worksheets in total. They can be done in groups of up to 3 students (same groups as for homework and fixed groups throughout the semester). Only 1 submission per group. All group members get the same grade. |
5. |
Homework |
10% |
One exercise sheet every week. Can be done in groups of up to 3 students (same groups as for worksheets and fixed groups throughout the semester). Only 1 submission per group. All group members get the same grade. |
6. |
WeBWorK |
5% |
Individual work. Each problem can be attempted as many times as desired before the deadline. |
7. |
Quick tests |
5% |
One quick test (=NTU COOL quiz) per week. Individual work. The grade is either full score (if attempted) or zero score (if not attempted). |
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