MATH 145 Section 003: Honors Calculus I

A grade of C- or higher in MATH 112 and MATH 113 (or MATH 115) or a mathematics placement score in the 440-550 range.

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, and Newton's Method.  Topics on integration include Riemann sums, properties of definite integrals, integration by substitution, and integrals involving logarithmic, exponential, trigonometric, inverse trigonometric, and hyperbolic functions.

LEARNING OUTCOMES FOR 100- AND 200-LEVEL COURSES:

1. Students will be able to identify key concepts in the arts, sciences, humanities, or mathematics to provide a broad perspective.
2. Students will be able to demonstrate effective written communication skills.

LEARNING OUTCOMES FOR THIS COURSE:

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.

CHAPTERS COVERED:

1          Functions and Limits

2          Derivatives (2.7 optional)

3          Inverse Functions: Exponential, Logarithmic, and Inverse Trigonometric Functions

(3.4 optional, 3.7 omit)

4          Applications of Differentiation

5          Integrals

7          Applications of Integration (7.1 only – Areas Between Curves)

There will be four (4) exams during the semester.  The exams will normally be given  in classroom. Exams will be graded on the basis of 100 points.   

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 will be used for the missed exam grade. However, the final exam can replace only one other exam score.

Dates of the Exams:

September 13,       October 11,           November 8,      November 29  

                        Date of the Final Exam:   Tuesday, December 11,  8 am—10:30 am  .    
           

HOMEWORK:  Homework is assigned throughout the course. Homework assignments will be completed on-line using WebAssign. You can expect homework assignments to be due in three to four days after the lecture.  It is essential to do the homework in order to master the material, and homework is part of your grade in the course.

WEBASSIGN INFORMATION:

To enroll in WebAssign for this course, go to webassign.net, click on Student Online Help, and Enroll in Webassign Courses. You will follow the instructions under Enroll with a Class Key.   We will also go through the instructions during the first day of class. 

To use Webassign for the semester, you will need both a class key and an access code. The class key is

ua 8018 8409

If you do not have an access code (it is packaged with the textbook, if bought new), you will need to purchase one (approx. $40).  The access code can be purchased online after you login (at the time you are asked for the code). Webassign gives you a short grace period in which you can access and work problems before you have to have an access code. After the grace period, you must enter a valid code before you can continue using WebAssign.

COURSE GRADE:                            l

The online homework and quiz and the 4 tests each counts 10%, a comprehensive final exam counts 40% of the grade.        

* Your lowest exam score will be replaced by your final exam score, if it helps your grade.

Grades in the course will be assigned as follows:

98           A+	88            B+	78            C+	68            D+	< 60      F
92           A	82            B	72            C	62            D
90           A–	80            B–	70            C–	60            D–

Makeup examinations are given only in the event of serious illness or other extreme cases, and only if arrangements are made in advance. 

TEXT:  Essential Calculus  (Early Transcendentals), second edition, by James Stewart, Brooks/Cole Publisher 

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