MATH 1501
Technical Mathematics for Mining
| School | School of Construction and the Environment |
|---|---|
| Program | Mining |
| Course Credits | 6 |
| Minimum Passing Grade | 50% |
| Start Date | September 02, 2014 |
| End Date | December 12, 2014 |
| Total Hours* | 75 |
| Total Weeks | 15 |
| Hours/Weeks | 5 |
| Delivery Type | Lecture |
| CRN | 30582 |
Acknowledgement of Territories
The British Columbia Institute of Technology acknowledges that our campuses are located on the unceded traditional territories of the Coast Salish Nations of Sḵwx̱wú7mesh (Squamish), səl̓ilwətaɁɬ (Tsleil-Waututh), and xwməθkwəy̓əm (Musqueam).
Instructor Details
| Name | Erika Crema |
|---|---|
| ecrema1@my.bcit.ca | |
| Location | SW2-216 |
| Office Hours | Monday 11:30-13:30 Tuesday 11:30-13:30 Wednesday 11:30-12:30 |
Course Description
This course covers; equations and Relations including polynomial, conic, power, exponential, logarithmic, trigonometric, and systems. Applications are stressed including graphical linear programming, exponential/logarithmic transformations, common and natural logarithms and logarithmic/semi-logarithmic graphs, radian measure and its applications. Solid geometry, formula creation, unit analysis, and math/computer models are important skills. Also taught are vectors and solution of triangles, with applications in forces, motions and navigation. The goal of this course is to develop skills at defining, solving and presenting mining and exploration industry related problems using the basic mathematical skills taught in this course.
Course Learning Outcomes/Competencies
Upon successful completion, the student will be able to:
- Calculate with Imperial or Systeme International units.
- Determine perimeters, areas and volumes of the regular and non-regular objects.
- Simplify and manipulate rational algebraic expressions.
- Solve linear, quadratic, power, exponential, logarithmic and trigonometric equations, inequalities and systems.
- Determine and simplify formulae for various perimeter, area and volume situations from industry.
- Solve various flow rate, relative velocity, mixture and investment word problems.
- Calibrate and graph linear, polynomial, power, exponential and trigonometric functions including the use of logarithmic and semi-logarithmic grids.
- Solve oblique triangles as seen in surveying, navigation and other vector applications.
- Introduce linear programming to illustrate modeling and optimizing concepts.
- Write an equation for a conic section in standard form and graph the relationship. Also, tell by inspection whether an equation represents a parabola, ellipse or hyperbola.
Learning Resources
Text(s) and Equipment:
Required:
- Washington, Allyn J., Basic Technical Mathematics with Calculus – Ninth Edition – SI Version. Pearson Addison Wesley, Toronto, 2009.
- An electronic scientific calculator with basic mathematical functions, trigonometric functions, log, ln and exp functions and statistical functions. Please make sure that the calculator allows dual entry for linear regression (for example, Sharp EL546).
Course Goals
The goals of this course are to:
- develop skill at defining, solving and presenting industry-related problems using the basic mathematical skills of this course and in view of eventual computer assistance.
- appreciate the role of functions and systems in mathematic modeling and simulations as they lead to specific goals such as optimizing.
Evaluation Criteria
| Criteria | % | Comments |
| Final Examination | 40 | |
| Term Test 1 | 20 | |
| Term Test 2 | 20 | |
| Quizzes and Assignments | 20 | |
| Total | 100 | Minimum passing grade for this course is 50%. |
Attendance Requirements
Students whose average grade is below 65% must attend the tutorial sessions scheduled.
Course Specific Requirements
Makeup Tests, Exams or Quizzes: There will be no makeup tests, exams or quizzes. If you miss a test, exam or quiz, you will receive zero marks. Exceptions may be made for documented medical reasons or extenuating circumstances. In such a case, it is the responsibility of the student to inform the instructor immediately.
The material or schedule specified in this course outline may be changed by the instructor. If changes are required, they will be announced in class.
Statement for prior learning assessment
Course Credit: Applications for course credit or course exemption on the basis of previously completed mathematics courses are assessed on a case-by-case basis by the BCIT Mathematics Dept. taking into account all of the following:
- the correspondence between topics, content and level
- recency (generally no more than 3–5 years)
- the grade (generally at least a C+ or 65%)
- the context (course taken as part of a university or college science or engineering program, rather than, for example, an arts or social science program).
Course topics
|
Week
|
Topics
|
Reference/
Reading |
|
1
|
Course Introduction
Numbers, Signed Numbers, Approximate Numbers
Exponents, Scientific Notation, Roots and Radicals
Units of Measurement, Conversion of Units
Basic Algebra
Linear Equations, Formulas, Applied Word Problems
|
1.1 - 1.3
1.4 - 1.6
Appendix B
1.7 - 1.9
1.10 - 1.12 and Appendix A
|
|
2
|
Straight lines, Angles and Triangles
|
2.1, 2.2, 4.1
|
|
3
|
Quadrilaterals, Circles, Areas of Plane Shapes
|
2.3, 2.4
|
|
4
|
Solid Geometric Shapes, Volumes
|
2.6
|
|
5
|
Solving Mixture and Statics Problems
Ratio, Proportion and Variation
TEST #1
|
Class Notes
18.1, 18.2
|
|
6
|
Factoring, Fractional Equations and Word Problems
|
6.1 - 6.8
|
|
7
|
Radicals
Solving Quadratic Equations, Applied Word Problems
|
11.1 - 11.5
7.1 - 7.3
|
|
8
|
Functional Notation and Graphing
Straight Lines
Solving Systems of Linear Equations, Determinants and Cramer’s Rule
|
3.1 - 3.4
5.2, 21.1, 21.2
5.3 - 5.5
|
|
9
|
Exponential Functions/Equations and
Logarithmic Functions/Equations
|
13.1- 13.6
|
|
10
|
Analytic Geometry – The Circle and The Parabola
The Ellipse and The Hyperbola
Test #2
|
21.3, 21.4
21.5, 21.6
|
|
11
|
Trigonometric Functions
Right Angle Triangles and Applied Word Problems
Trigonometric Functions of Any Angles
|
4.2, 4.3
4.4, 4.5
8.2
|
|
12
|
Radians and Applications of Radian Measure
Oblique Triangles, Sine Law and Cosine Law
|
8.3, 8.4
9.5, 9.6
|
|
13
|
Trigonometric equations
Properties of Inequalities, Solving Linear and Nonlinear Inequalities
|
20.5, 20.6
17.1 - 17.3
|
|
14
|
Review
|
|
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15
|
Final Examination
|
BCIT Policy
The following statements are in accordance with the BCIT Policies 5101, 5102, 5104, and 7507, and their accompanying procedures. To review these policies and procedures please click on the links below.
Attendance/Illness:
In case of illness or other unavoidable cause of absence, the student must communicate as soon as possible with his/her instructor or Program Head or Chief Instructor, indicating the reason for the absence. Prolonged illness of three or more consecutive days must have a BCIT medical certificate sent to the department. Excessive absence may result in failure or immediate withdrawal from the course or program. Please see Policy 5101 - Student Regulations, and accompanying procedures
Academic Integrity:
Violation of academic integrity, including plagiarism, dishonesty in assignments, examinations, or other academic performances are prohibited and will be handled in accordance with Policy 5104 - Academic Integrity and Appeals, and accompanying procedures.
Accommodation:
Any student who may require accommodation from BCIT because of a physical or mental disability should refer to BCIT's Policy on Accommodation for Students with Disabilities (Policy #4501), and contact BCIT's Disability Resource Centre (SW1 2360, 604-451-6963) at the earliest possible time. Requests for accommodation must be made to the Disability Resource Centre, and should not be made to a course instructor or Program area.
Any student who needs special assistance in the event of a medical emergency or building evacuation (either because of a disability or for any other reason) should promptly inform their course instructor(s) and the Disability Resource Centre of their personal circumstances.
Human Rights, Harassment and Discrimination:
The BCIT community is made up of individuals from every ability, background, experience and identity, each contributing uniquely to the richness and diversity of the BCIT community as a whole. In recognition of this, and the intrinsic value of our diversity, BCIT seeks to foster a climate of collaboration, understanding and mutual respect between all members of the community and ensure an inclusive accessible working and learning environment where everyone can succeed.
Campus Mediation Services is a supportive resource for both students and employees of BCIT, to foster a respectful learning and working environment. Any student who feels that they are experiencing discrimination or harassment (personal or human rights-related) can confidentially access this resource for advice and support. Please see Policy 7507 – Harassment and Discrimination and accompanying procedure.
Students should make themselves aware of additional Education, Administration, Safety and other BCIT policies listed at https://www.bcit.ca/about/administration/policies.shtml
Guidelines for School of Construction and the Environment
Attempts:
Students must successfully complete a course within a maximum of three (3) attempts at the course. Students with two attempts in a single course will be allowed to repeat the course only upon special written permission from the Associate Dean. Students who have not successfully completed a course within three attempts will not be eligible to graduate from their respective program.
Approved
I verify that the content of this course outline is current.
Erika Crema, Instructor
August 20, 2014
I verify that this course outline has been reviewed.
Andrew McConnell, Program Head
August 25, 2014
I verify that this course outline has been reviewed.
Russell Hartlaub, Program Head
August 28, 2014
I verify that this course outline has been reviewed and complies with BCIT policy.
Robert Stevens, Associate Dean
August 29, 2014
Note: Students will be given reasonable notice if changes are required to the content of this course outline.
*Course hours and credits are calculated per Policy 5012 and the associated procedure.
Total hours – Example of 3 credit lecture/lab course:
- Full-time course: 45 hours of scheduled learning
- Flexible Learning course: 36 hours of scheduled learning plus 9 hours of independent (non-scheduled, non-instructional) learning