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: this class covers two exam slots, so you have two choices for the final exam: either Dec 12, Period 4 or Dec 18, Period 3!

Things to download:

• DyKnow Collaboration software

General Info:

• Syllabus

Practice Exams

• Final Exam Practice (pdf)
• Exam 3 Practice (pdf) (with answers)
• Exam 2 Practice (pdf) (with answers)
• Exam 1 Practice (with answers)

Computer Stuff

• Computer Assignment (optional)
• Wolfram Alpha

Assignments

• Final Exam Practice (pdf)
• Exam 3 Practice (pdf) (with answers)
• Section 5.1: #4, 5, 6
  Section 5.2: #29, 32, 35
  Section 5.3: #1, 3, 5, 7, 9, 11, 14, 47, 57  
• Section 3.7: #4, 7, 9, 11, 12, 17, 21, 25
  Section 4.7: #1, 3, 5, 7, 10, 13, 14, 15, 17, 23, 35, 37, 41
• Section 3.3: # 8, 21, 23, 27, 37, 49, 51, 68
  Section 3.4: # 3, 4, 9, 10, 11
  Section 3.5: # 1, 3, 7, 8, 9, 12(a), 16, 19, 20, 24, 25
• Section 3.1: #17, 18,23, 24, 25, 26
  Section 3.2: #2, 21, 23, 24, 25, 43, 47, 53, 59, 69
  Section 3.3: #1, 2, 7, 10, 14, 38, 44
• Exam 2 Practice (pdf)
• Section 2.7: #3, 11, 12, 13, 19, 20
  Section 2.8: #1, 2, 5, 19, 20, 21, 22
  Section 4.2: #1, 3, 5, 7, 11, 12, 16, 17
• 19: Page 232: #5, 6, 9,  12, 25, 34, 36, 46
  Page 129: #3, 7, 9, 17
  Worked out HW [ pdf ]
• 17: Page 225: #11, 12, 13, 16, 4, 5
  Page 205: #37, 41, 42
• 15: Page 204: #5, 6, 14, 23, 27, 29, 42, 43, 61
  Page 217: 1, 2, 4, 25, 27, 28, 31
• 13: Page 119: #1, 2, 3, 4, 8, 9, 10, 16, 20, 24, 26, 32, 34, 36, 40, 43, 45, 58
• Practice exam 1
• this worksheet (both pages, all except 8 - 13, 17, 18)
• Page 69: #41, 42, 44
  Page 80: #1 (a, b), 2 (a, b), 12, 19
  Page 91: #1, 2, 3, 18, 39 (a, b), 40
  for optional review: Page 70: #5, 6, 11, 13, 16 and Page 71: #2, 8, 15, 21, 23, 26, 29, 33, 34, 47, 49
• 07,08: Page 67: 18, 19, 20, 21, 22, 23, 28, 31
  Page 81: 7, 8, 14 (a, b), 15, 18, 23, 29, 30
• 06: Page 67: #2, 10, 13, 14, 15, 16, 17
• 05: Page 54: #4, 10, 15, 16, 27, 28, 30, 31, 32, 36, 37, 39  
• 03: Page 33: #3, 4, 6, 7, 8, 11, 12, 13
  Page 44: #10, 11, 12, 17, 18, 21, 22, 23, 24, 29, 30, 34, 36, 37, 42
  02: Page 21: #16, 17, 18, 21, 22, 23, 25, 28, 63, 64, 65, 66
• 01: Page 8: 3, 4, 5, 6, 7, 19, 20, 23, 24, 38, 40

Lectures

• 36: Review final [ dyn | pdf ]
• 34: Substitution [ dyn | pdf ]
• 33: Fund. Thm of Calc [ dyn | pdf ]
• 32: Properties of Int [ dyn | pdf ]
• 31: Definite Integral [ dyn | pdf ]
• 30: Integrals [ dyn | pdf ]
• 29: Antiderivatives [ dyn | pdf ]
• 28: l'Hospital [ dyn | pdf ]
• 27: Inv trig functions [ dyn | pdf ]
• 26: Log derivative [ dyn | pdf ]
• 25: Exp and Log [ dyn | pdf ]
• 24: Review exam 2 [ dyn | pdf ]
• 23: Inverse func [ dyn | pdf ]
• 22: Mean Value Theorem [ dyn | pdf ]
• 21: Error estimates [ dyn | pdf ]
• 20: Related Rates [ dyn | pdf ]
• 19: Implicit diff [ dyn | pdf ]
• 18: Optimization [ dyn | pdf ]
• 17: Curve sketching 2 [ dyn | pdf ]
• 16: Curve sketching 1 [ dyn | pdf ]
• 15: Extrema & inflection [ dyn | pdf ]
• 14: More chain rule [ dyn | pdf ]
• 13: Chain rule [ dyn | pdf ]
• 12: Review [ dyn | pdf ]
• 11: Derivative examples [ dyn | pdf ]
• 10: More diff rules [ dyn | pdf ]
• 09: Diff. Rules [ dyn | pdf ]
• 08: More derivatives [ dyn | pdf ]
• 07: Derivatives [ dyn | pdf ]
• 06: Inf limits [ dyn | pdf ]
• 05: Continuity [ dyn | pdf ]
• 04: More limits [ dyn | pdf ]
• 03: Limits [ dyn | pdf ]
• 02: Functions [ dyn | pdf ]
• 01: Intro [ dyn | pdf ]