Math 1648 Analysis 1

Lectures: Tuesdays 18:55 - 20:35 in B-4 / 2.39.

Summer 2024 office hours (konsultacje): Room C-19 / A.3.6, Wednesdays 13:00 - 15:00 and Thursdays 14:00 - 16:00 when the University is open. Last day: Monday 24.6 at 14:00 (a "Thursday" class schedule). Office hours are optional; come if you want extra help. Building C-19 is new and does not appear on some campus maps, so here is a Google Maps marker.

Slides

• Slides from 12 March. Graphs of common functions.
• Slides from 19 March. Types of functions, intro to limits.
• Slides from 26 March. Derivative rules.
• Slides from 9 April. Tangent lines, increasing and decreasing.
• Slides from 16 April. Chain Rule. Local min/max (1st D. Test).
• Slides from 23 April. Local min/max (2nd D. Test.), concavity.
• Slides from 30 April. Inflection points, exam review.
• Slides from 7 May. Exam. Limits intro.
• Slides from 14 May. Limits and continuity.
• Slides from 21 May. L'Hôpital's Rule, intro to anti-derivatives.
• Slides from 4 June. Antiderivatives, definite integrals.
• Slides from 11 June. Integration by parts.
• Slides from 14 June. Integration by substitution (u-sub.)
• Slides from 18 June. More integrals, area between curves.

Other resources

• Speaking mathematics. Examples of how to say formulas out loud. Especially helpful if English is not your first language.
• There is no physical textbook, but we will mostly follow chapters from Paul's Online Notes, which cover several courses from Lamar University.
  • Course "textbook" showing the order of topics compared to Paul's.
  • Review chapter with pages on common functions including sin(x), e^x, and log(x).
• Suggested video series. (I have only watched some of these, but I have heard from previous students that they can be helpful.)
  • Professor Leonard. Full video lectures from a course at Merced College.
  • Khan Academy. Hundreds of worked examples and practice problems.
  • 3Blue1Brown. Focuses on ideas and visuals, with fewer specific examples.

• List 0. Algebra review. Answers.
• List 1. Derivative rules. Answers.
• Assignment 1. To be completed at home (on paper) and submitted at the start of class on 9 April.
• List 2. Tangent lines, monotonicity, critical points. Answers.
• List 3. Concavity, local extremes. Answers.
• Assignment 2. To be completed at home and submitted at the start of class on 30 April.
• List 4. Limits. Answers.
• Assignment 3. To be completed at home and submitted at the start of class on 4 June.
• List 5. Integrals. Answers.
• Assignment 4. To be completed at home and submitted at the start of class on 18 June.
• List 6. Review. Answers.