Sections, Times, Locations
M04: MWRF, 12:00pm, McLaury 208
Syllabus & Calendar
TBA
D2L Link
Use our D2L page to access the textbook and your current grades.
Academic Integrity
South Dakota Mines is committed to academic honesty and scholarly integrity. The South Dakota Board of Regents Policy 2:33 provides a comprehensive definition of "Academic Dishonesty", which includes cheating and plagiarism. All instructors at South Dakota Mines are required to report allegations of academic misconduct to the Student Conduct Officer. The South Dakota Board of Regents Policy 3:4 provides detailed information regarding key definitions, policy information, prohibited conduct, and the Student Conduct process adhered to at South Dakota Mines. Any student suspected of violating academic integrity standards will be reported in accordance with the process outlined on the South Dakota Mines website.
In-Class Exam Dates (TENTATIVE)
Exam 1: Friday, 19 September
Exam 2: Friday, 3 October
Exam 3: Thursdsay, 16 October
Exam 4: Friday, 24 October
Exam 5: Monday, 3 November
Exam 6: Wednesday, 12 November
Exam 7: Thursday, 20 November
Exam 8: Friday, 5 December
Final: TBA
Exam Revision Deadlines (TENTATIVE)
Exam 1: Thursday, 25 September, 4:00pm
Exam 2: Thursday, 9 October, 4:00pm
Exam 3: Wednesday, 22 October, 4:00pm
Exam 4: Thursday, 30 October, 4:00pm
Exam 5: Friday, 7 November, 4:00pm
Exam 6: Monday, 17 November, TBA
Exam 7: Monday, 1 December, TBA
Exam 8: Wednesday, 10 December, TBA
Course Handouts & Suggested Practice Problems
Review Materials
Algebra & Trigonometry
Please understand that proficiency in algebra and trigonometry is expected for this course.
Need algebra and trigonometry review? Check out Paul's Online Notes for this very purpose.
Worried about algebra, trigonometric, and calculus errors? Paul's Online Notes has you covered too.
First-Semester Calculus
Please understand that proficiency in the ideas from first-semester calculus is also expected for this course.
This document contains some of the major formulas, identities, and ideas from trigonometry and first-semester calculus (limits, derivatives, integrals). This document does not purport to cover every single idea from trigonometry and first-semester calculus upon which we may call in this class.
Some practice problems from Paul's Online Notes involving limits and other concepts from first-semester calculus can be found below.
For each of these links, you are directed to the "Practice Problems" on Paul's Online Notes. At the top of each page, you'll see a tab for "Notes" -- click "Notes" to get a quick summary of the content associated with each set of problems.
Basic Limit Ideas: All Problems Suggested
One-Sided Limits: All Problems Suggested
Limit Computation Practice: All Problems Suggested
Infinite Limits: All Problems Suggested
Limits at Infinity: All Problems Suggested
Basic Differentiation Formulas : All Problems Suggested
Product & Quotient Rule: All Problems Suggested
Derivatives of Trigonometric Functions : All Problems Suggested
Chain Rule : Problems 1-6, 13, 15, 17, 19, 20, 23, 26, 27, 29, 30 Suggested
Implicit Differentiation: Problems 1-11 Suggested
Computing Indefinite Integrals : Problems 1-11, 13-16 Suggested
Substitution Rule for Indefinite Integrals : Problems 1-7, 10, 13 Suggested
More Substitution Rule Practice : Problems 1, 4, 7, 9, 10, 13 Suggested
Computing Definite Integrals : Problems 1-5, 7-12, 15 Suggested
Substitution & Definite Integrals : Problems 1-3, 7, 9, 10 Suggested
Similar problems for limit practice can be found in Sections 2.2, 2.4, 2.6 of our text.
Similar problems for derivative practice can be found in Sections 3.3, 3.5, 3.6 of our text.
Similar problems for integration practice can be found in Sections 4.7, 5.4, 5.5, 5.6 of our text.
Paul's Online Notes also has some summary "cheat sheets" you may find of interest. Keep in mind that some of the calculus-specific cheat sheets may cover ideas we will eventually cover in this class.
Self-Assessment
Self-Assessment: Once you have reviewed what you need to review, try this self-assessment which covers most of the first-semester calculus content you see above. Please please please swing by office hours to discuss these questions once you've given them a try.
This information is tentative!
UNIT 1: Vectors & Matrices
Section 12.2: Vector Basics (27 Aug.)
Section 12.3: Dot Products (28/29 Aug.)
Section M.1: Matrix Basics (29 Aug. & 3 Sept.)
Section M.2: All About Determinants (4/5 Sept.)
Link to 3Blue1Brown -- this video and associated text and animations give a fine explanation on how matrix determinants may be interpreted in the land of Linear Algebra
Section 12.4: Cross Products (5/8 Sept.)
Section M.3: Row Operations (10/11 Sept.)
Section M.4: Inverting Square Matrices (11/12 Sept.)
Section M.5: Matrices & Linear Systems (15/17 Sept.)
UNIT 2: Transcendence
Section 7.1: Inverse Functions & Their Derivatives (17/18 Sept.)
Sections 7.2/7.3: Calculus with Exponential & Logarithmic Functions (24/25 Sept.)
Section 7.6: Calculus with Inverse Trigonometric Functions (25/29 Sept.)
Section 7.7: Calculus with Hyperbolic Functions (1 Oct.)
UNIT 3: Two Integration Techniques
Section 8.2: Integration by Parts (2/8 Oct.)
Section 8.3: Some Trigonometric Integrals (9/10 Oct.)
UNIT 4: Two More Integration Techniques
Section 8.4: Trigonometric Substitution (15/17 Oct.)
Section 8.5: Integration by Partial Fractions (20/22 Oct.)
UNIT 5: Some Miscellaneous Topics
Section 8.7: Numerical Integration Techniques (23 Oct.)
Section 7.5: Indeterminate Forms & L'Hopital's Rule (27/29 Oct.)
Section 8.8: Improper Integration (29/30 Oct.)
UNIT 6: Sequences & A First Pass at Series
Section 10.1: Sequences (31 Oct. & 5 Nov.)
Sections 10.2/10.3: A First Look at Series (6/7 Nov.)
UNIT 7: More About Series
Section 10.5: The Ratio & Root Tests (10/13 Nov.)
Section 10.6: The Alternating Series Test (14/17 Nov.)
UNIT 9: Power Series & Taylor Series
Section 10.7: Power Series (19/21 Nov.)
Section 10.8/10.9/10.10: Taylor Series & Applications (24 Nov. & 1/3/4 Dec.)