Math 9700, Bridge Course (Algebra), Summer 2026

Class essentials

• Course schedule
• Overleaf starter template
• Gradescope (click "Log in," then "School Credentials")
• Canvas (will be used very sparingly, if at all)

Resources

• LaTeX tips and best practices
• Some guidelines for good mathematical writing, by Francis Su. (3 pages)
• Mathematical writing, by Richard Hammack. (3 pages)
• Detextify. See how to write symbols in LaTeX
• Unicodeit Useful for writing math symbols in emails.
• Slides on group theory (Wed. July 15 only)
• Slides on universal properties (July 16--17 only)

Daily worksheets

• HW 1: pdf | tex Topic: The four fundamental subspaces. Due Monday, July 6, 2026.
• HW 2: pdf | tex Topic: Projection and least squares. Due Tuesday, July 7, 2026.
• HW 3: pdf | tex Topic: Orthogonality. Due Wednesday, July 8, 2026.
• HW 4: pdf | tex Topic: Vector spaces and subspaces. Due Thursday, July 9, 2026.
• HW 5: pdf | tex Topic: Spanning, linear independence, basis. Due Friday, July 10, 2026.
• HW 6: pdf | tex Topic: Quotients. Due Tuesday, July 14, 2026.
• HW 7: pdf | tex Topic: The isomorphism theorems. Due Thursday, July 16, 2026.
• HW 8: pdf | tex Topic: Universal properties. Due Friday, July 17, 2026.
• HW 9: pdf | tex Topic: Basic category theory. Due Monday, July 20, 2026.
• HW 10: pdf | tex Topic: The dual of a vector space. Due Tuesday, July 20, 2026.
• HW 11: pdf | tex Topic: The transpose of a linear map. Due Wednesday, July 22, 2026.
• HW 12: pdf | tex Topic: The matrix of a linear map. Due Thursday, July 23, 2026.
• HW 13: pdf | tex Topic: Multilinear forms. Due Thursday, July 24, 2026.