Math 1401: Calculus I

Topics covered: Real numbers functions, elements of plane analytic geometry, limits, continuity, derivatives, differentiation of algebraic functions, applications of the derivative, antiderivatives, definite integral, Fundamental Theorem of Calculus. Applications using computer software packages. 4 credits

Prerequisite: MATH 1015 or appropriate score on departmental placement test.

Final exam: Thursday, Dec. 15, 2:30 - 4:30, in our classroom

Things to download:

• DyKnow Collaboration software

General Info:

• Syllabus

Practice Exams

• Practice Final (with answers) and
  Integration Problems
• Practice Exam 3
  (with answers and more answers)
• Practice Exam 2 (with answers)
• Practice Exam 1 (with answers)

Computer Stuff, Worksheets

• Movie: The Right Spin
• Wolfram Alpha
• Worksheet on limits
• Worksheet on Differentiation
• Quiz 3 (take-home)
• Mathematica in a nutshell
• Quiz (Mathematica - take-home)
• Mathematica assignment 1

Assignments

• 30, 31: this worksheet
• 29: this page: #1, 2, 5, 6, 8, 9,13, 14, 20, 37, 38
• 28: this page: #4 (a, b), 5 (a), 19, 21, 31, 32, 35
• 27: Practice Exam 3
       (with answers and more answers)
• 26: this page: #1, 2, 4, 6, 9, 10, 12, 13, 24, 25
• 25: sample problems
• 23: this page: #17, 19, 22, 12, 24, 27, 37, 38
•       this page: #46, 47, 48, 49, 51
• 22: this page: which of  #5,6,7,8,9,10 has an inverse?
         #19, 21, 22, 24, 41 to 46, 47, 50, 51, 53
        this page: #1, 3, 5, 7, 8, 9, 14
• 20: this page: #17, 19, 21, 22, 23
• 19: this page: #3, 4, 5, 6, 7, 9, 10, 13, 16, 29, 30, 36
        this page: #1, 3, 5, 6, 12, 13
• 18: Practice Exam 2 (with answers)
• 17: Practice Questions and Page 127: #3, 5, 8, 19
• 16: Page 180: #2, 7, 8, 9, 11, 13, 14, 25, 44, 45
• 14: Take-home Quiz (due Wed. 10/12)
        Mathematica assignment 1 (due on Fri, 10/14)
• 13: Curve sketching (answers)
• 12: Concavity & Extrema WS
• 11: all worksheet problems,
        max/min and concavity quest
• 10: worksheet on derivatives
        Problems 7, 8, 9 on Exam 1
• 09: Practice Exam 1 (with answers)
• 07,08: Page 54: #37, 39
        Page 81: #9, 12, 14, 15, 19, 23, 28, 29, 32
        Page 91: #1, 2, 3, 18, 19, 20, 27, 28, 39 (a, b), 41
• 06: Page 54: #4, 10, 15, 16, 27, 28, 30, 31, 32, 33
• 05: Page 67: #2, 10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 28, 31
• 04: Worksheet on limits (with answers)
        Page 33: #3, 4, 5, 6
• 03: Page 44: #10, 11, 12, 17, 18, 21, 22, 23, 24, 29, 30, 34, 36, 37, 42
• 02: Page 8: #1, 2, 3, 4, 5, 6, 11, 17, 19, 23, 24, 26, 27, 37, 39
• 01: Install Dyknow

Lectures

• 31: Subst, 2nd Fund. Thm.
• 30: Substitution
• 29: Fund Thm of Calculus
• 28: Definite Integral
• 27: Antiderivatives
• 26: l'Hospital
• 25: Sample problems
• 24: Exp growth/decay and inv trigs
• 23: Deriv. of Exp.
• 22: Logarithms
• 21: Inverses and exp funct.
• 20: Error propagation, MVT
• 19: Related Rates, Linearization
• 19: Practice Exam 2 (with answers)
• 18: Worked problems on impl diff and optimization
• 17: Implicit differentiation
• 16: Absolute extrema
• 14: Mathematica in a nutshell,
        Curve sketching with Mathematica,
        Sample curve sketching
• 13: Curve sketching
• 12: Concavity & Extrema
        WS with Answers
• 11: Max/min and concavity
• 10: Chain rule
• 09: Prod and quotient rules | summary
• 08: Derivative | summary
• 07: IMV and Quiz 3 | summary
• 06: continuity | summary
• 05: limits at infinity | summary
• 04: graphical lims, also limits worksheet
• 03: limits | summary
• 02: graphs, piecewise functions | summary
• 01 intro, functions, domains | summary