Instructor Info

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

Office Hours

Mon: 4:00pm-5:20pm
Fr: 12:40-1:40pm
in Math Tower (MW) 636

Time and Location

Lecture: M-W-F 9:10am-10:05am
in McPherson Chemical Laboratory (MC) 1005.

[Syllabus and references]       [Exams]       [Quizzes]       [Homework]       [Lecture Notes]

Exams
  • Midterm 1: Friday January 31, 2020 (in class). Topics: § 1.1-1.3, 1.5-1.7, 1.9. Solutions for midterm 1.
  • Midterm 2: Friday March 6, 2020 (in class). Topics: § 2.1-2.4, 3.1-3.6, 5.3-5.4. Solutions for midterm 2.
  • Final exam (CUMULATIVE): due Wednesday April 29, 2020, at 11:45am. This will be a take home exam, it will be assigned the day before at 9am. Review for final.

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Quizzes

Two quizzes will be given at random and will consist of problems very similar to those on the homework. The quizzes will be worth 5 points each. No make-up quizzes will be allowed.

  • Quiz 1: Friday January 17th, 2020 (in class). Solutions.
  • Quiz 2: Friday February 21st, 2020 (in class). Solutions.

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Homeworks

 The homework problems are designed to understand the material discussed during the lectures. You are encourage to solve these problems as the new material is covered in class. Group work is strongly encouraged, but individual solutions must be submitted by each students.
There will be a total of 13 homeworks. Only some of the problems from each set will be graded. Each homework set will be worth 12 points. No late homework will be accepted, but the two lowest scores will be dropped.
Links to the homework assigments (in pdf formal) will be uploaded below, the same day the homework is assigned (typically a week before it is due.)

There is a copy of the textbook on reserve in the 18th Ave library on campus.
  • Homework 1: due on Monday January 13th, 2020 (in class).
  • Homework 2: due on Friday January 24th, 2020 (in class).
  • Homework 3: due on Wednesday January 29th, 2020 (in class).
  • Homework 4: due on Friday February 7th, 2020 (in class).
  • Homework 5: due on Wednesday February 12th, 2020 (in class).
  • Homework 6: due on Wednesday February 19th, 2020 (in class).
  • Homework 7: due on Wednesday February 26th, 2020 (in class).
  • Homework 8: due on Wednesday March 4th, 2020 (in class).
  • Homework 9: due on Friday March 27th, 2020 (on Carmen).
  • Homework 10: due on Friday April 3rd, 2020 (on Carmen).
  • Homework 11: due on Friday April 10th, 2020 (on Carmen).
  • Homework 12: due on Friday April 17th, 2020 (on Carmen).
  • Homework 13: due on Friday April 24th, 2020 (on Carmen).

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Lectures
  • Lecture 1 (§ 1.1: Introduction to Matrices And Systems of Linear Equations), January 6, 2020.
  • Lecture 2 (§ 1.1 (cont.): Introduction to Matrices And Systems of Linear Equations, and § 1.2: Echelon Form and Gauss-Jordan Elimination), January 8, 2020.
  • Lecture 3 (§ 1.2 (cont.): Echelon Form and Gauss-Jordan Elimination), January 10, 2020.
    More examples of Gauss-Jordan elimination
  • Lecture 4 (§ 1.3: Consistent Systems of Linear Equations), January 13, 2020.
  • Lecture 5 (§ 1.3 (cont.): Homogeneous Systems, and interpolation of points via curves in the plane), January 15, 2020.
  • Lecture 6 (§ 1.5 Matrix multiplication, and § 1.6: Algebraic Properties of Matrix Operations), January 17, 2020.
  • Lecture 7 (§ 1.6: Algebraic Properties of Matrix Operations and § 1.9: Matrix Inverses and Their Properties), January 22, 2020.
  • Lecture 8 (§ 1.9 (cont.): Matrix Inverses and Their Properties), January 24, 2020.
  • Lecture 9 (§ 1.7: Linear independence and Nonsingular Matrices), January 27, 2020.
  • Lecture 10 (§ 2.1: Vectors in the Plane, and § 2.2: Vectors in Space), February 3, 2020.
  • Lecture 11 (§ 2.3: The Dot Product and the Cross Product), February 5, 2020.
  • Lecture 12 (§ 2.3 (cont.): The Cross Product, and § 2.4: Lines in the Plane and in Space), February 7, 2020.
  • Lecture 13 (§ 2.4 (cont.): Planes in Space), February 10, 2020.
  • Lecture 14 (§ 3.1: Introduction to the Vector Space Rn, and § 3.2: Vector Space Properties of Rn and § 3.3: Examples of Subspaces), February 12, 2020.
  • Lecture 15 (§ 3.3(cont.): More Examples of Subspaces, and § 3.4: Bases for Subspaces), February 14, 2020.
  • Lecture 16 (§ 3.4 (cont.): Bases for Subspaces), February 17, 2020.
  • Lecture 17 (§ 3.5: Dimension of subspaces of Rn), February 19, 2020.
  • Lecture 18 (§ 3.6: Orthogonal Bases for Subspaces), February 21, 2020.
  • Lecture 19 (§ 5.1: Introduction to Vector Spaces and Linear Transformations, and § 5.2: Vector Spaces), February 24, 2020.
  • Lecture 20 (§ 5.3: Subspaces), February 26, 2020.
  • Lecture 21 (§ 5.4: Linear Independence and Bases), February 28, 2020.
  • Lecture 22 (§ 5.4 (cont.): Bases and Coordinates), March 2, 2020.
  • Lecture 23 (§ 3.7: Linear Transformation from Rn to Rm), March 23, 2020.
  • Lecture 24 (§ 3.7 (cont.): Linear Transformation from Rn to Rm, and § 5.7: Linear Transformations), March 25, 2020.
  • Lecture 25 (§ 5.7 (cont.): Linear Transformations: Null space and range, the Rank-Nullity Theorem), March 27, 2020.
  • Lecture 26 (§ 5.8: Operations With Linear Transformations: addition, scalar multiplication, composition; surjective and invertible transformations; examples), March 30, 2020.
  • Lecture 27 (§ 5.9: Matrix Representations Of Linear Transformations), April 1, 2020.
  • Lecture 28 (§ 6.1: Introduction to Determinants and § 6.2: Cofactor Expansions Of Determinants), April 3, 2020.
  • Lecture 29 (§ 6.3: Elementary Operations And Determinants), April 6, 2020.
  • Lecture 30 (§ 6.4: Cramer's Rule ), April 8, 2020.
  • Lecture 31 (§ 4.1: The Eigenvalue Problem for (2 × 2) Matrices, and § 4.2: Determinants and the Eigenvalue Problem), April 10, 2020.
  • Lecture 32 (§ 4.4: Eigenvalues and the Characteristic Polynomial), April 13, 2020.
  • Lecture 33 (§ 4.5: Eigenvectors and Eigenspaces; Defective matrices), April 15, 2020.
  • Lecture 34 (§ 4.6: Complex numbers and complex eigenvalues; roots of non-constant polynomials with real coefficients), April 17, 2020.
  • Lecture 35 (§ 4.6: Complex Eigenvectors and Eigenspaces; real symmetric matrices), April 20, 2020.
  • Lecture 36 (§ 4.7: Similarity Transformations and Diagonalization), April 22, 2020.

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