Sections, Times, Locations
M05: MWRF, 1:00pm, McLaury 306
M06: MWRF, 2:00pm, McLaury 208
Syllabus & Calendar
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
Exam 1: Friday, 5 September
Exam 2: Wednesday, 17 September
Exam 3: Monday, 29 September
Exam 4: Friday, 10 October
Exam 5: Thursday, 23 October
Exam 6: Thursday, 6 November
Exam 7: Wednesday, 19 November
Exam 8: Friday, 5 December
Final: Wednesday, 17 December, 8:00am
Exam Revision Deadlines
Exam 1: Thursday, 11 September, 4:00pm
Exam 2: Wednesday, 24 September, 4:00pm
Exam 3: Monday, 6 October, 4:00pm
Exam 4: Monday, 20 October, 4:00pm
Exam 5: Wednesday, 29 October, 4:00pm
Exam 6: Thursday, 13 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 & Second-Semester Calculus
Please understand that proficiency in the ideas from the first two semesters of calculus is also expected for this course.
This document contains some formulas from trigonometry and the first two semesters of calculus (limits, derivatives, integrals). This document does not purport to cover every single idea from these classes upon which we may call in our course.
Some practice problems from Paul's Online Notes involving limits and other concepts from first- and second-semester calculus can be found below.
For each of these links, you are directed to the "Practice Problems" at 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
L'Hopital's Rule & Indeterminate Forms: All Problems Suggested
Basic Differentiation Formulas : All Problems Suggested
Product & Quotient Rule: All Problems Suggested
Derivatives of Trigonometric Functions : All Problems Suggested
Derivatives of Exponential & Logarithmic Functions: All Problems Suggested
Derivatives of Hyperbolic Functions: All Problems Suggested
Derivatives of Inverse Trigonometric Functions: All Problems Suggested
Chain Rule : All Problems Suggested
Implicit Differentiation: Problems 1-11 Suggested
Computing Indefinite Integrals : All Problems Suggested
Substitution Rule for Indefinite Integrals : All Problems Suggested
More Substitution Rule Practice : All Problems Suggested
Computing Definite Integrals : Problems 1-16 Suggested
Substitution & Definite Integrals : All Problems Suggested
Integration by Parts: All Problems Suggested
Certain Trigonometric Integrals: Problems 1-4 Suggested
Integration by Partial Fractions: All Problems Suggested
Improper Integration: All Problems Suggested
Similar problems for limit practice can be found in Sections 2.2, 2.4, 2.6, 7.5 of our text.
Similar problems for derivative practice can be found in Sections 3.3, 3.5, 3.6, 7.2, 7.3, 7.6, 7.7 of our text.
Similar problems for integration practice can be found in Sections 4.7, 5.4, 5.5, 5.6, 7.2, 7.3, 7.6, 7.7, 8.2, 8.3, 8.5, 8.8 of our text.
You may also wish to check out the corresponding content from my MATH 125 page.
Paul's Online Notes also has some summary "cheat sheets" you may find of interest. Keep in mind that his calculus cheat sheets may cover some ideas from second-semester calculus that are not typically covered in our classes.
Self-Assessment
Self-Assessment: Once you have reviewed what you need to review, try this self-assessment which covers most of what you see above. Then please please please swing by office hours to discuss these questions once you've given these a try!
UNIT 1: Cartesian Space & Vectors
Section 12.1: 3D (Cartesian) Coordinate Systems & Miscellany (27/28 Aug.)
Sections 12.2/12.3/12.4: Vector Basics & Some Applications (28/29 Aug. & 3 Sept.)
UNIT 2: Things We Can Do With Vectors
Sections 11.1/12.5: Parametric Curves & Planes (4/10/11/12 Sept.)
Updated 11 Sept. 2025 to clarify the description of the acute angle between planes.
UNIT 3: More Things We Can Do With Vectors
Sections 13.1/13.2/13.3.1: Calculus With Vector-Valued Functions (15/19 Sept.)
Sections 13.3.2/13.4/13.5: Motion in Planes & Space (22/24 Sept.)
UNIT 4: Surfaces & Partial Differentiation
Sections 12.6/14.1: Surfaces & Traces (25 Sept. & 1/2/3 Oct.)
Sections 14.3/14.4: Partial Derivatives & Chain Rule Revisited (6/8/9 Oct.)
UNIT 5: Things We Can Do With Partial Derivatives
Sections 14.5/14.6: Gradients & Applications (15/16 Oct.)
Sections 14.7: Local Extrema of Two-Variable Functions (17/20 Oct.)
UNIT 6: All About Double Integrals
Sections 15.1/15.2: Double Integrals in Rectangular Coordinates (22/24/27 Oct.)
Section 11.3: Introduction to Polar Coordinates (29/30 Oct.)
Section 15.4: Double Integrals in Polar Coordinates (31 Oct. & 3 Nov.)
UNIT 7: All About Triple Integrals
Section 15.5: Triple Integrals in Rectangular Coordinates (5/7 Nov.)
Sections 15.7.1: Triple Integrals in Cylindrical Coordinates (10/12 Nov.)
Sections 15.7.2: Triple Integrals in Spherical Coordinates (13/14 Nov.)
UNIT 8: Integration in Vector Fields
Section 16.2: Vector Line Integrals: Flow/Circulation & Flux (17/20 Nov.)
Section 16.3: Conservative Vector Fields & FTLI (21/24 Nov.)
Section 16.4: Green's Theorems (1/3/4 Dec.)