Calculus 1 - Spring 2015
Instructor: Christopher Sadowski
Email: csadowski at ursinus dot edu
Office: Pfahler Hall 101L
Office Hours: Monday and Friday, 3:00-4:30 or by appointment
Text: Calculus Early Transcendentals, Second Edition, by Briggs, Cochran, and Gillett
Make sure that the text you purchase includes access to MyMathLab!
Location: Pfahler Hall 106
Meeting times: MTThF, 11:00 - 11:50
Grading:
-10% Homework and Maple Labs
-10% Quizzes
-15% Midterm 1
-15% Midterm 2
-15% Midterm 3
-35% Final Exam
Midterms:
Exam 1 will be on Friday, 2/27/15 covering material up to and including Section 3.3.
Exam 2 will be on Thursday, 4/2/15, covering material up to and including Section 4.2.
Exam 3 will be on Monday, 4/27/15, covering material from 4.2 up to and including 4.9.
Midterm Averages:
Midterm 1: 80%
Midterm 2: 77%
Midterm 3: 68%
Homework: There will be weekly homework assigned each Thursday, to be completed online and finished by the following Thursday. The homework will be given a COMPLETION grade. The point is to learn and make your mistakes on the homework so that you are not making mistakes on the quizzes and exams!
Quizzes: We will have a quiz on Thursday of each week on the material covered in the previous week. The quiz will be on the homework material due that week. The lowest quiz grade will be dropped.
Maple: There will be several Maple assignments throughout the semester to illustrate various important concepts and ideas.
Syllabus (subject to change as the course progresses):
Week 1: (1/19)
1.1 Review of Functions
1.2 Representing Functions
1.3 Inverse, Exponential, and Logarithmic Functions
Week 2: (1/26)
1.4 Trigonometric Functions and Their Inverses
2.2 Definition of Limits
Week 3: (2/2)
2.3 Techniques for Computing Limits
2.4 Infinite Limits
2.5 Limits at Infinity
Week 4: (2/9)
2.6 Continuity, Intermediate Value Theorem
3.1 Introducing the Derivative
Week 5: (2/16)
3.2 Working With Derivatives
3.3 Rules of Differentiation
Week 6: (2/23)
3.4 Product and Quotient Rules
3.5 Derivatives of Trigonometric Functions
3.6 Derivatives as Rates of Change
Exam 1 on Friday, 2/27/15
Week 7: (3/2)
3.7 Chain Rule
3.8 Implicit Differentiation
SPRING BREAK
Week 8: (3/16)
3.9 Derivatives of Logarithmic and Exponential Functions
3.10 Derivative of Inverse Trigonometric Functions
Week 9: (3/23)
3.11 Related Rates
4.1 Maxima and Minima
4.2 What Derivatives Tell us
Week 10: (3/30)
4.3 Graphing Functions
4.4 Optimization Problems
Exam 2 on Thursday, 4/2/15
Week 11: (4/6)
4.5 Linear Approximations and Differentials
4.6 Mean Value Theorem
Week 12: (4/13)
4.7 L'Hospital's Rule
4.9 Antiderivatives
Week 13: (4/20)
4.9 Antiderivatives
5.1 Approximating Area Under Curves
5.2 Definite Integrals
Week 14: (4/27)
Exam 3 on 4/27/15.
5.2 Definite Integrals
5.3 The Fundamental Theorem of Calculus
Review for Final
Week 15: (5/4)
Review for Final