Instructor Info

Name: Maria Angelica Cueto
Email: cueto.5@osu.edu
Office: Math Tower (MW) 636
Office Phone: 614 688 5773

Office Hours

Thu.: 4:00-6:00pm
on Zoom.

Time and Location

Lecture and Recitations:
M-T-W-R-F 9:10am-10:05am
in Baker Systems Building (BE) 130.

Textbook

  • Title: Calculus with Analytic Geometry
  • Edition: 2nd.
  • Author: Simmons
  • Publisher: McGraw Hill
  • ISBN: 9780070576424

Exams
  • Midterm 1: Tuesday, September 21, 2021 (in class). Topics: Chapters 2-4; Appendices A2 and A4.
  • Midterm 2: Tuesday, October 26, 2021 (in class). Topics: Chapters 5-9.
  • Midterm 3: Tuesday, November 20, 2021 (in class). Topics: Chapters 10, 12, and 13.
  • Final exam (CUMULATIVE): Monday, December 13, 2021, 10:00am-11:45am (BE 130, usual class location).

Homeworks

 The homework problems are designed to help understand the material discussed during the lectures and they will be assigned on a weekly basis. You are encouraged to solve these problems as the material is presented in class, to reinforce what you have learned during lecture. Links to the homework assigments (in pdf format) will be uploaded on a regular basis.
There will a total of 13 homeworks, and only three of the problems from each set are required to be turned in. Each homework set will be worth 20 points (each graded problem is worth five points and up to five extra points will be given for completion of the assignment) . No late homework will be accepted, but the two lowest scores will be dropped.
  • Homework 1: Sections 2.2, 2.3, 2.4, 2.5 and 2.6 (due date: Friday Sept. 3)
  • Homework 2: Sections 3.1, 3.2, 3.3, 3.4 and 3.5 (due date: Friday Sept. 10)
  • Homework 3: Sections 3.6, 4.1, 4.2, 4.3, 4.4 and 4.5 (due date: Friday Sept. 17)
  • Homework 4: Sections 5.2, 5.3, 5.4, 5.5, 6.3 and 6.5 (due date: Friday Oct. 1)
  • Homework 5: Sections 6.6, 6.7, 7.2, 7.3 7.4 and 7.5 (due date: Friday Oct. 8)
  • Homework 6: Sections 7.6, 7.7, 8.2, 8.3, 8.4 and 8.5 (due date: Wednesday Oct. 13)
  • Homework 7: Sections 9.1, 9.2, 9.3, 9.4, 9.5 and 9.6 (due date: Friday Oct 22)
  • Homework 8: Sections 10.2, 10.3, 10.4 and 10.5 (due date: Monday Nov. 1)
  • Homework 9: Sections 10.6, 10.7, 10.8, 12.2, 12.3 and 12.4 (due date: Friday Nov. 5)
  • Homework 10: Sections 13.2, 13.3 and 13.4 (due date: Friday Nov. 12)
  • Homework 11: Sections 13.5, 13.6, 13.7 and 13.8 (due date: Friday Nov. 19)
  • Homework 12: Sections 14.2, 14.3 and 14.4 (due date: Friday Dec. 3)
  • Homework 13: Sections 14.5, 14.6 and 14.7 (due date: Tuesday Dec. 7)

Back to top

Lectures
  • Week 1:
    • Lecture 1 (§ 2.1: "What is Calculus? The problem of tangents.", and § 2.2: "How to calculate the slope of a tangent."), August 24, 2021.
    • Lecture 2 (§ 2.2 (cont.): "How to calculate the slope of a tangent.", and § 2.3: "The definition of the derivative."), August 25, 2021.
    • Lecture 3 (§ 2.5: "The concept of a limit."), August 26, 2021.
    • Lecture 4 (§ 2.5 (cont.): "The concept of a limit; two trigonometric limits.", and § 2.4: "Velocity and rates of change. Newton and Leibniz."), August 27, 2021.
  • Week 2:
    • Lecture 5 (§ A2: "Theorems about limits. Uniqueness of limits and Squeeze Theorem"), August 30, 2021.
    • Lecture 6 (§ A2 (cont.): "Limit laws," and § 2.6: "Continuous functions."), August 31, 2021.
    • Lecture 7 (§ 2.6 (cont.): "The Intermediate Value Theorem, the Mean Value Theorem and the Extreme Values Theorem."), September 1, 2021.
    • Lecture 8 (§ 3.1: "Derivatives of polynomials.", and § 3.2: "The product and quotient rules."), September 2, 2021.
    • Lecture 9 (§ 3.3: "Composite functions and the Chain Rule."), September 3, 2021.
  • Week 3:
    • Lecture 10 (§ 3.4: "Some trigonometric derivatives."), September 7, 2021.
    • Lecture 11 (§ 3.5: "Implicit functions an Fractional exponents."), September 8, 2021.
    • Lecture 12 (§ 3.6: "Derivatives of higher order.", and § A4: "The Mean Value Theorem."), September 9, 2021.
    • Lecture 13 (§ 4.1: "Increasing and decreasing functions. Maxima and Minima."), September 10, 2021.
  • Week 4:
    • Lecture 14 (§ 4.2: "Concavity and points of inflection."), September 13, 2021.
    • Lecture 15 (§ 4.3: "Applied maximum and minimum problems.", and § 4.4: "More Maximum-Minimum problems."), September 14, 2021.
    • Lecture 16 (§ 4.5: "Related rates."), September 15, 2021.
    • Lecture 17 (§ 4.4 (cont.): "Reflection and refraction."), September 16, 2021.
    • Lecture 18 (§ 5.1: "Introduction.", and § 5.2: "Differentials and tange line approximations."), September 17, 2021.
  • Week 5:
    • Lecture 19 (§ 5.3: "Indefinite integrals. Integration by substitution." and § 5.4: "Differential equations. Separation of variables."), September 22, 2021.
    • Lecture 20 (§ 5.5: "Motion under Gravity. Escape velocity and black holes."), September 23, 2021.
    • Lecture 21 (§ 6.1: "Introduction.", and § 6.2: "The problem of areas."), September 24, 2021.
  • Week 6:
    • Lecture 22 (§ 6.3: "The Sigma notation and certain special sums.", and § 6.4: "The area under a curve. Definite integrals. Riemann sums."), September 28, 2021.
    • Lecture 23 (§ 6.5: "The computation of areas as limits." and § 6.7: "Properties of definite integrals."), September 29, 2021.
    • Lecture 24 (§ 6.7 (cont.): "Algebraic vs Geometric areas.", and § 6.6: "The Fundamental Theorem of Calculus."), September 30, 2021.
    • Lecture 25 ( § 7.1: "Introduction. The intuitive meaning of integration.", and § 7.2: "The area between two curves."), October 1, 2021.
  • Week 7:
    • Lecture 26 (§ 7.2 (cont.): "The area between two curves." and § 7.3: "Volumes: The disk method."), October 4, 2021.
    • Lecture 27 (§ 7.3 (cont.): The Washer Method", § 7.3: "Volumes via moving slices", and § 7.4: "Volumes: The method of cylindrical shells."), October 5, 2021. [Visualization aid for cylindrical shells: nested cups]
    • Lecture 28 (§ 7.5: "Arc length.", and § 7.6: "The area of a surface of revolution."), October 6, 2021.
    • Lecture 29 (§ 7.7: "Work and energy."), October 7, 2021.
    • Lecture 30 (§ 8.2: "Review of exponents and Logarithms."), October 8, 2021.
  • Week 8:
    • Lecture 31 (§ 8.3: "The number e and the function y=ex.", § 8.4: "The natural logarithm function y=ln x.", and § 8.5: "Applications. Population growth."), October 11, 2021.
    • Lecture 32 (§ 8.5 (cont.): "Applications: Radioactive decay." and § 9.1: "Review of Trigonometry."), October 12, 2021.
    • Lecture 33 (§ 9.2: "The derivatives of the sine and cosine.", § 9.3: "The integrals of the sine and cosine.", § 9.4: "The derivatives of the other four functions.", and § 9.5: "The inverse trigonometric functions.), October 13, 2021.
  • Week 9:
    • Lecture 34 ("Simple harmonic motion"), October 18, 2021.
    • Lecture 35 (§ 9.6 (cont.): "Simple harmonic motion. The Pendulum."), October 19, 2021.
    • Lecture 36 (§ 10.1: "Introduction. The basic formulas.", § 10.2: "The method of substitution.", and § 10.3: "Certain trigonometric integrals."), October 20, 2021.
    • Lecture 37
    • Lecture 37 ( § 10.3 (cont): "Certain trigonometric integrals." and § 10.4: "Trigonometric substitutions."), October 21, 2021.
    • Lecture 38 (§ 10.5: "Completing the square." and § 10.6: "The method of partial fractions."), October 22, 2021.
  • Week 10:
    • Lecture 39 (§ 10.6: "The method of partial fractions."), October 27, 2021.
    • Lecture 40 (§ 10.7: "Integration by parts." and § 10.8: "A mixed bag. Strategy for dealing with Integrals of miscellaneous types."), October 28, 2021.
    • Lecture 41 (§ 12.1: "Introduction.", and § 12.2: "The indeterminate form 0/0. L'Hospital's Rule."), October 29, 2021.
  • Week 11:
    • Lecture 42 (§ 12.1 (cont.): "The Mean Value Theorem revisited.", and § 12.3: "Other indeterminate forms."), November 1, 2021.
    • Lecture 43 (§ 12.3 (cont.): "Other indeterminate forms.", and § 12.4: "Improper integrals."), November 2, 2021.
    • Lecture 44 (§ 13.1: "What is an infinite series?"), November 3, 2021.
    • Lecture 45 (§ 13.2: "Convergent sequences."), November 4, 2021.
    • Lecture 46 (§ 13.2 (cont.): "Convergent sequences.""), November 5, 2021.
  • Week 12:
    • Lecture 47 (§ 13.3: "Convergent and divergent series.), November 8, 2021.
    • Lecture 48 (§ 13.3 (cont.): "Convergent and divergent series.", and § 13.4: "General properties of convergent series." ), November 9, 2021.
    • Lecture 49 (§ 13.4 (cont.): "General properties of convergent series.", and § 13.6: "The integral test."), November 10, 2021.
    • Lecture 50 (§ 13.6 (cont.): "The integral test. Euler's constant.", and § 13.7: "The ratio test and root test."), November 12, 2021.
  • Week 13:
    • Lecture 51 (§ 13.5: "Series of nonnegative terms. Comparison tests."), November 15, 2021.
    • Lecture 52 (§ 13.5 (cont.): "Series of nonnegative terms. Comparison tests.", and § 13.7 (cont.): "The ratio test and root test."), November 16, 2021.
    • Lecture 53 (§ 13.8: "The alternating series test. Absolute convergence."), November 17, 2021.
    • Lecture 54 (Appendix A13: "Absolute vs. conditional convergence."), November 18, 2021.
    • Lecture 55 (§ 14.1: "Introduction.", and § 14.2: "The interval of convergence."), November 19, 2021.
  • Week 15:
    • Lecture 56 (§ 14.2 (cont.): "The interval of convergence."), November 29, 2021.
    • Lecture 57 (§ 14.3: "Differentiation and integration of power series." and § 14.4: "Taylor series and Taylor's formula."), November 30, 2021.
    • Lecture 58 (§ 14.4 (cont.): "Taylor series and Taylor's formula."), December 1, 2021.
    • Lecture 59 (§ 14.5: "Computations using Taylor's formula.", § 14.6: "Applications to Differential Equations."), December 2, 2021.
    • Lecture 60 (§ 14.7: "Operations on Power series." and Appendix A16: "Division of power series."), December 3, 2021.
  • Week 16:
    • Lecture 61 (§ 14.3 (cont.): "Differentiation and integration of power series." and § A15: "Uniform convergence for power series.), December 6 and 7, 2021.

Back to top