Mathematics 201-1: Introduction to Proofs
Instructor: Jonathan Smith, 496 Carver, 4-8172 (voice mail)
e-mail: jdhsmithATiastateDOTedu (substitute punctuation)
Office Hours: Mon. 11 - 11.50 am, 3.10 - 4 pm; Wed. 11 - 11.50 am; Fri. 12.10 - 1 pm (subject to change).
For the second half of the semester, office hours will be conducted through e-mail exchange (as many of you used during the first half). You may ask questions by e-mail at any time. Occasionally, the response may be delayed, but should generally be fast during the scheduled office hours.
Grading [revised plan]: 100% for in-class assignments (at random times during the first half-semester)
and homework (last assignment due 4/27 5/1).
Special note: Regular A-F/I/R grades will be awarded at the end of the semester, as usual. However, you will then be given the option to convert to a P/NP grade if you wish. See the
special announcement. In connection with this policy, the drop deadline has been extended to 4/3.
Click here for the accessibility statement.
Textbooks:
Study Plan: Regular attendance and participation in class activities are the prerequisites for success. Regular and timely reading of the thrice-weekly class blog is the prerequisite for success. Except in extreme circumstances, no accommodation can be given for failure to meet this responsibility. The definitive version of the material will be presented in class the blog, not taken from the textbooks.
Assignments will be given regularly. They will not be graded each week, but it is absolutely essential to solve each homework problem in order to understand the material and develop the necessary skills.
Communication devices must remain switched off during the class periods and final.
Additional Mathematics course policies
Syllabus:
Sets, logic, proofs in algebra and calculus.
Assignments
Note: In these assignments, (BP) and (BA) refer to the versions of the textbooks from the links above.
5/1: Class blog
4/29 for 5/1: Class blog
4/27 for 4/29: Class blog
Note: In H3, the third question should begin "Show that the series ..."
Click here for the Final Graded Homework
in Portable Document Format (due 5/1 at 5 pm CDT).
Submit a PDF titled [Yourlastname]M201H3 (e.g., SmithM201H3) to Canvas as Assignment H3.
If you prepare the homework on paper, create the PDF with a scanning app for
Android or
iPhone.
4/24 for 4/27: Read (BA) Example 2.5.11, Prop. 2.5.12; do (BA) Exercises 2.5.7: 3(a), (b).
Class blog
4/22 for 4/24: Read (BA) Section 2.5.5; do (BA) Exercises 2.5.7: 8.
Class blog
4/20 for 4/22: Read (BA) Sections 2.5.1-2; do (BA) Exercises 2.5.7: 1, 2, 3(d).
Class blog
4/17 for 4/20: Read (BA) Section 2.4; do (BA) Exercises 2.4.1: 1, 4, 5.
Class blog
4/15 for 4/17: Read (BA) Sections 2.3.1-2; do (BA) Exercises 2.3.5: 3, 5, 6.
Class blog
4/13 for 4/15: Read (BA) Sections 3.2.1-3; do (BA) Exercises 3.2.4: 1, 3, 5 (just prove continuity at x = 0).
Class blog
4/10 for 4/13: Read (BA) Section 2.2.1 and Prop. 2.2.5; do (BA) Exercises 2.2.5: 1, 2, 3, 5, 7.
Class blog
4/8 for 4/10: Complete reading of (BA) Section 2.1; do (BA) Exercises 2.1.4: 3, 4, 14, 15, 17.
Class blog
4/6 for 4/8: Read (BA) Section 2.1 through Section 2.1.1; do (BA) Exercises 2.1.4: 1, 2, 9, 10.
Class blog
4/3 for 4/6: Read (BA) Section 1.3; do (BA) Exercises 1.3.1: 1, 2, 3, 7.
Class blog
4/1 for 4/3: Read (BA) Section 1.2.2; do (BA) Exercises 1.2.5: 1, 2, 8.
Class blog
3/30 for 4/1: Read (BA) Sections 1.2.1 (not proof of Ex. 1.2.3), 1.2.3, 1.2.4; do (BA) Exercises 1.2.5: 4, 7, 9.
Class blog
Click here for the Second Graded Homework
in Portable Document Format (due 4/3 at 5 pm CDT).
Submit a PDF titled [Yourlastname]M201H2 (e.g., SmithM201H2) to Canvas as Assignment H2.
If you prepare the homework on paper, create the PDF with a scanning app for
Android or
iPhone.
3/27 for 3/30: Read (BA) Section 1.1 to just before Definition 1.1.5; do (BA) Exercises 1.1.1: 2, 4, 6, 9.
Class blog
3/25 for 3/27: Read (BP) Section 14.3 (Section 13.3 in second or first edition!); do (BP) Exercises 14.2: 2; 14.3: 4, 6, 8
(Exercises 13.2, 13.3 in second or first edition!)
Class blog
3/23 for 3/25: Read (BP) Sections 14.1, 14.2; do (BP) Exercises 14.2: 2, 4, 6, 8.
(Sections 13.1, 13.2, and Exercises 13.2 in second or first edition!)
Class blog
3/13 for 3/23: Read (BP) Sections 12.5, 14.1 (through Theorem 14.1); do (BP) Exercises 12.2: 9, 10; 12.5: 2, 6; 14.1: 4, 6, 8.
(Section 13.1, Theorem 13.1 and Exercises 13.1 in second or first edition!)
Lesson summary
3/11 for 3/13: Read (BP) Sections 12.2, 12.4, 12.6; do (BP) Exercises 12.2: 2, 4; 12.4: 2, 6; 12.6: 2, 6.
Lesson summary
3/6 for 3/9: Read (BP) Sections 11.1, 11.6, 12.1; do (BP) Exercises 11.1: 2, 4, 12, 14; 12.1: 2, 4, 7, 8, 10.
(Section 11.0, 11.5 and Exercises 11.0 in second or first edition!)
Lesson summary
3/4 for 3/6: Read (BP) Section 10.1; do (BP) Exercises 10: 10, 18, 24, 34, using induction or otherwise.
Lesson summary
3/2 for 3/4: Read (BP) Chapter 10 through Prop. 10.1; do (BP) Exercises 10: 2, 4, 6, 8, 16, using induction or otherwise.
Lesson summary
2/28 for 3/2: Read (BP) Section 3.6; do (BP) Exercises 3.6: 2, 4, 8, 10, 12.
(Section 3.4 and Exercises 3.4 in second or first edition!)
Lesson summary
Click here for Practice Test #1 in Portable Document Format
2/21 for 2/24: Read (BP) Chapter 9 [but avoid disconnected inequalities like those in Examples 9.3 and 9.5]; do (BP) Exercises 9: 4, 12, 16, 28, 30, 34.
Lesson summary
2/19 for 2/21: Read (BP) Sections 8.1 to 8.3; do (BP) Exercises 8: 4, 6, 8, 20, 22.
Lesson summary
2/17 for 2/19: Read (BP) Section 7.1 (omitting final proposition)
and Section 7.3 up to WARNING; do (BP) Exercises 7: 2, 4, 12, 18, 20.
Lesson summary
Click here for the First Graded Homework
in Portable Document Format (due 2/17).
2/14 for 2/17: Read (BP) Sections 6.1, 6.2; do (BP) Exercises 6: 2, 6, 8, 10.
Lesson summary
2/12 for 2/14: Read (BP) Sections 5.1, 5.3; do (BP) Exercises 5: 2, 4, 6, 12, 16.
Lesson summary
2/10 for 2/12: Read (BP) Sections 4.4, 4.5; do (BP) Exercises 4: 14, 16, 18, 20, 26.
Lesson summary
2/7 for 2/10: Read (BP) Sections 4.1 to 4.3; do (BP) Exercises 4: 2, 4, 6, 10, 12.
Lesson summary
2/3 for 2/5: Read (BP) Section 2.10; do (BP) Exercises 2.10: 2, 4, 6, 8.
Lesson summary
1/31 for 2/3: Read (BP) Sections 2.7 to 2.9; do (BP) Exercises 2.7: 4, 8, 10; 2.9: 2, 4, 6, 10.
Lesson summary
1/29 for 1/31: Read (BP) Sections 2.5, 2.6; do (BP) Exercises 2.5: 10; 2.6: 6, 8, 12, 14.
Lesson summary
1/27 for 1/29: Read (BP) Sections 2.3, 2.4; do (BP) Exercises 2.3: 2, 4, 8, 10; 2.4: 2, 4.
Lesson summary
1/22 for 1/24: Read (BP) Sections 2.1, 2.2; do (BP) Exercises 2.2: 1, 3-5, 7-10.
Lesson summary
1/17 for 1/22: Read (BP) Section 1.8; do (BP) Exercises 1.8: 2, 4, 6, 9, 14.
Lesson summary
1/15 for 1/17: Read (BP) Sections 1.3 to 1.7; do (BP) Exercises 1.3: 2, 4, 10; 1.4: 4, 5; 1.5: 2(a)-(c), 4(f)(g)(h); 1.6: 2(a),(f),(g); 1.7: 10, 12.
Lesson summary
1/13 for 1/15: Read (BP) Sections 1.1, 1.2; do (BP) Exercises 1.1: 1-4, 17-20, 30-33, 40, 42, 44; 1.2: 1, 3, 10, 12, 20.
Lesson summary
Link to syllabi of previous semesters.