MATH 125 Section 018: Calculus I
Fall 2009
4 Credit Hours
Primary Instructor: Dr. Robert Moore
Core Designation: Mathematics
First course in the three part basic calculus sequence for students majoring in mathematics, science, or engineering. Topics include limits, continuity, differentiation, applications of differentiation, and integration. Applications of the derivative are covered in detail, including approximations of errors using differentials, maxima and minima problems, curve sketching, optimization problems. Topics on integration include Riemann sums, properties of definite integrals, integration by substitution, and integrals involving logarithmic, exponential, trigonometric, inverse trigonometric, and hyperbolic functions.
1) Students will develop a basic understanding of the concepts of calculus and be able to apply them to real situations.
2) Students will be able to find limits of functions.
3) Students will be able to calculate (and simplify) derivatives involving rational, exponential, trigonometric, inverse trigonometric, and hyperbolic functions.
4) Students will be able to apply derivatives to various applications including optimization problems, linear approximation, and curve sketching.
5) Students will be able to calculate (and simplify) integrals using some basic techniques of integration.
6) Students will be able to use integration to find the area of certain types of planar regions.
1 Functions and Limits
2 Derivatives (2.7 optional)
3 Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions
(omit 3.6, 3.7. Section 3.7 is done in Math 126)
4 Applications of Differentiation (omit 4.6)
5 Integrals
7 Applications of Integration (7.1 only – Areas Between Curves)
There will be three (3) exams during the semester, given jointly to Math 125, sections 008 and 009. The exams will be given on Tuesday evenings, 6:30 – 8:00 p.m. (classrooms will be announced). Exams will be graded on the basis of 100 points and scaled by a factor of 1.8 at the end of the semester. Makeup examinations are given only in the event of serious illness or other extreme cases, and only if arrangements are made in advance. Otherwise, your final exam score (scaled by 180/260) will be used for the missed exam grade. However, the final exam can replace only one other exam score.
Dates of the Exams:
September 8 6:30 pm
October 27 6:30 pm
November 17 6:30 pm
Final Exam: Thursday, Dec. 10, 11:30--2:00
COURSE GRADE: 1000 points total
Homework 150
Recitation/Participation 50
Exams (3) 540 (180 each exam)
*Final exam 260
* Your lowest exam score will be replaced by your final exam score (scaled by 180/260), if it helps your grade.
Grades in the course will be assigned as follows:
980 A+ ; 920 A ;
900 A- ; 880 B+ ; 820 B ; 800 B- ; 780 C+ ; 720 C ; 700 C- ; 680 D+ ; 620 D; 600 D- ; below 600 F
Makeup examinations are given only in the event of serious illness or other extreme cases, and only if arrangements are made in advance. Otherwise, your final exam score (scaled by 180/260) will be used for the missed exam grade. However, the final exam can replace *only one* other exam score.
Attendance will be taken, but is not a part of your grade.
none.
There is no extra credit available in this course.
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The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.
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