# Mathematics and Statistics

Mathematics plays an increasingly greater variety of roles in modern society. At the university level, mathematics provides technical know-how in diverse areas such as economics, engineering, physics, biology, chemistry, psychology and computer science. It is also a desirable prerequisite for almost any area of learning since it can serve as an extremely effective tool for training in logical reasoning.

First-year courses attempt to prepare students for study in these areas as well as for further study in mathematics and statistics. First-year mathematics courses fall into two streams: Mathematics 1050/1051, a non-calculus stream for students who neither require nor wish to study calculus and for prospective teachers in primary and elementary education; and Mathematics 1090, 1000 and 1001, courses in a calculus stream designed to prepare students for the study of sciences and further mathematics.

### Why study mathematics?

Job opportunities for students studying mathematics and statistics include but are not limited to:

- actuary
- air traffic controller
- demographer
- epidemiologist
- forensic statistician
- investment banker
- meteorologist
- personal finance advisor
- software specialist
- risk analyst
- risk management specialist

** Courses available in first year**

**Mathematics 1000**

**Calculus I**is an introduction to differential calculus, including algebraic, trigonometric, exponential, logarithmic, inverse trigonometric and hyperbolic functions. Applications include kinematics, related rates problems, curve sketching and optimization.

Lectures: Four hours per week (at Grenfell Campus, three hours of lectures and a 90 minute problem laboratory per week.)

Prerequisite: Mathematics 1090 or a combination of placement test and high school advanced mathematics scores acceptable to the department.

**Mathematics 1001**

**Calculus II**is an introduction to integral calculus, including Riemann sums, techniques of integration and improper integrals. Applications include exponential growth and decay, area between curves and volumes of solids of revolution.

Lectures: Three hours per week (at Grenfell Campus, three hours of lectures and a 90 minute problem laboratory per week.)

Prerequisite: Mathematics 1000

**Mathematics 1050**

**Finite Mathematics I**covers topics which include sets, logic, permutations, combinations and elementary probability.

Lectures: Four hours per week

Prerequisite: A combination of placement test and/or high school mathematics scores acceptable to the department is required at the St. John’s campus; or at Grenfell Campus, the successful completion of Level III Academic or Advanced Mathematics

Note: Students who have already obtained six or more credit hours in mathematics or statistics courses numbered 2000 level or above should not register for this course and cannot receive credit for it.

**Mathematics 1051**

**Finite Mathematics II**covers topics which include elementary matrices, linear programming, elementary number theory, mathematical systems and geometry.

Lectures: Four hours per week

Prerequisite: A combination of placement test and/or high school mathematics scores acceptable to the department is required at the St. John’s campus; or at Grenfell Campus, the successful completion of Level III Academic or Advanced Mathematics

Note: Students who have already obtained six or more credit hours in mathematics or statistics courses numbered 2000 level or above should not register for this course and cannot receive credit for it.

**Mathematics 109A/B****Introductory Algebra and Trigonometry** is a two-semester course which provides students with the essential prerequisite elements for the study of an introductory course in calculus, at a slower pace than Mathematics 1090. Topics include algebra, functions and their graphs, exponential and logarithmic functions, trigonometry, polynomials, and rational functions.

Lectures: Four hours per week

Prerequisite: a combination of placement test and high school mathematics scores acceptable to the Department

Note: Students will not receive credit for Mathematics 1090 A/B if they have previously received credit or are currently registered for Mathematics 1090, 1000 or 1001.

**Mathematics 1090**

**Algebra and Trigonometry**provides students with the essential prerequisite elements for the study of an introductory course in calculus. Topics include algebra, functions and their graphs, exponential and logarithmic functions, trigonometry, polynomials and rational functions.

Lectures: Four hours per week (at Grenfell Campus, three hours of lectures and a three-hour problem laboratory per week.)

Prerequisite: A combination of placement test and/or high school mathematics scores acceptable to the department is required at the St. John’s campus; or at Grenfell Campus, the successful completion of Level III Academic or Advanced Mathematics

Note: Students will not receive credit for Mathematics 1090 if they have previously received credit or are currently registered for Mathematics 1000 or 1001.

**Statistics 1510**

**Statistical Thinking and Concepts**examines the basic statistical issues encountered in everyday life, such as data collection (both primary and secondary), ethical issues, planning and conducting statistically-designed experiments, understanding the measurement process, data summarization, measures of central tendency and dispersion, basic concepts of probability, understanding sampling distributions, the central limit theorem based on simulations (without proof), linear regression, concepts of confidence intervals and testing of hypotheses. Statistical software will be used to demonstrate each technique.

Lectures: Three hours per week

Laboratory: 90 minute laboratory per week

Prerequisite: Mathematics 1090 or 109B or a combination of placement test and high school mathematics scores acceptable to the department

Note: Statistics 1510 is intended for students with an interest in pursuing a major in statistics or mathematics.

**Mathematics 2050**

**Linear Algebra I**includes the topics: Euclidean n-space, vector operations in 2- and 3-space, complex numbers, linear transformations on n-space, matrices, determinants and systems of linear equations.

Lectures: Three hours per week

Prerequisite: A combination of placement test and high school advanced mathematics scores acceptable to the department; or three credit hours in a first-year mathematics course

**Statistics 2500**

**Statistics for Business and Arts Students**covers descriptive statistics (including histograms, stem-and-leaf plots and box plots), elementary probability, random variables, the binomial distribution, the normal distribution, sampling distribution, estimation and hypothesis testing including both one and two sample tests, paired comparisons, correlation and regression, related applications.

Lectures: Three hours per week

Laboratory: one 90 minute laboratory per week. Statistical computer package will be used in the laboratory, but no prior computing experience is assumed

Prerequisite: Mathematics 1000 or six credit hours in first year courses in Mathematics or registration in at least semester three of a Bachelor of Nursing program or permission of the Head of Department

Note: Credit may be obtained for only one Statistics 2500, Statistics 2550, Psychology 2910 and 2925.

**Statistics 2550**

**Statistics for Science Students**is an introduction to basic statistics methods with an emphasis on applications to the sciences. Material includes descriptive statistics, elementary probability, binomial distribution, Poisson distribution, normal distribution, sampling distribution, estimation and hypothesis testing (both one and two sample cases), chi-square test, one way analysis of variance, correlation and simple linear regression.

Lectures: Three hours per week

Laboratory: one 90 minute laboratory per week. Statistical computer package will be used in the laboratory, but no prior computing experience is assumed.

Prerequisite: Mathematics 1000

Note: Credit may be obtained for only one of Engineering 4421, Statistics 2500, Statistics 2550, Psychology 2910 and 2925.

Notes:

- Students who complete one of the following will receive credit for Mathematics 1000:
- IB Higher Level Mathematics with a score of four or higher
- AP Mathematics with a score of three or higher on the AP Calculus AB exam (students must request to have AP grades sent to the Registrar’s Office)
- Newfoundland and Labrador high school Mathematics 3208 with a pass on the Calculus Placement Test (CPT) in June or September

These students are advised to register for Mathematics 1001 at Memorial. - International students should write the College Board SATMI (Mathematics Level 1 subject test) at their earliest convenience to know which math courses they will have permission to take before arriving in Canada
- Mathematics 1000 is available for direct entry to students who complete one of the following:
- IB Standard Level Mathematics with a score of four or higher
- AP Mathematics with a score less than 3 but obtain at least 75 per cent on the MPT
- SATMI score of at least 700
- Mathematicsc 3200 with a grade of at least 75 per cent
- Mathematics 3200 with a grade between 50 – 74 per cent and at least 75 on the MPT
- Non-NL grade 12 level Advanced Math with a 75 on the MPT
- All other students requiring calculus should take Mathematics 1090 prior to Mathematics 1000. A student who does not meet the requirements for entry to Mathematics 1090 will be directed to external resources for upgrading high school mathematics.
- Students with a grade of D or better on GCE AS Level Mathematics will, upon application to the evaluations officer, be awarded transfer credit for Mathematics 1090.
- Transfer students who have queries regarding the prerequisite for Mathematics 1090 or 1000 are strongly advised to contact the Department of Mathematics and Statistics at 709 864 8914 or Division of Science at Grenfell Campus at 709 637 6247.
- Mathematics 1050 is not a prerequisite for Mathematics 1051; these courses may be taken in any order.

COURSE CRITERIA CHART FOR MATHEMATICS – ST. JOHN’S CAMPUS

Students may write the SAT® (SATMI) as often as they wish. It is recommended that students write the SATMI in order to receive their score prior to registration. Dates for the SATMI can be found at www.collegeboard.org.

The MPT and CPT may be written only once. The CPT is offered the first day of classes in Fall and Winter. Students without MATH 3208 must have permission from the Department to take the CPT. The MPT is written the day before classes in Fall, and the first day of classes in Winter and Spring.

COURSE CRITERIA CHART FOR MATHEMATICS – GRENFELL CAMPUS

Courses | Provincial Students | National Students | International Students |

1050 or 1051 Finite Mathematics These courses do not lead to calculus. | Math 3200 or 3201 and do not want or require calculus | Grade 12/ Senior Secondary Academic or Advanced Math or equivalent and do not want or require calculus | Grade 12/ Senior Secondary Academic or Advanced Math or equivalent and do not want or require calculus |

1090 Algebra and Trigonometry | Math 3200 or 3201 | Grade 12/ Senior Secondary Academic or Advanced Math or equivalent | Grade 12/ Senior Secondary Academic or Advanced Math or equivalent |

1000 Calculus I | • Math 3200 with a grade of at least 75% • Math 3200 with a grade between 50 – 74% and MPT score of at least 75 or 700 on the SATMI • A score of at least four in Standard Level Mathematics from the International Baccalaureate® program • Students who do not get a sufficient score on the MPT will be required to complete Math 1090 before taking Math 1000 | • Grade 12/ Senior Secondary Advanced Math with an MPT score of at least 75 or 700 on the SATMI • A score of at least four in Standard Level Mathematics from the International Baccalaureate® program • Students who do not get a sufficient score on the MPT will be required to complete Math 1090 before taking Math 1000 | • Grade 12/ Senior Secondary Advanced Math with an MPT score of at least 75 or 700 on the SATMI • A score of at least four in Standard Level Mathematics from the International Baccalaureate® program • Students who do not get a sufficient score on the MPT will be required to complete Math 1090 before taking Math 1000 |

1001 Calculus II | Credit for Math 1000 or a grade of at least 50% on the CPT |

Students may write the SAT® (SATMI) as often as they wish. It is recommended that students write the SATMI in order to receive their score prior to registration. Dates for the SATMI can be found at www.collegeboard.org.

The MPT and CPT may be written only once. The CPT is offerd in June, September and January. The MPT will be administered on the day before classes begin for Fall semester, the first day of classes in Winter, and at the St. John's campus on the first day of classes in Spring.

**Sample program**

** For students completing a Bachelor of Arts (BA) with a major in mathematics or statistics**

**Sample program**

Fall Semester | Winter Semester |

English 1090 | critical reading & writing course (CRW) chosen from major subject area |

language study (LS) course | language study (LS) course |

Mathematics 1000 (or 1090)* | Mathematics 1001 (or 1000)* |

minor program course | minor program course |

elective course (breadth encouraged) | elective course (breadth encouraged)(or Statistics 1510) |

* Students completing Mathematics 1090/1000 are required to complete Mathematics 1001 as well.

Note: Students may write the SAT® (SATMI) as often as they wish. It is recommended that students write the SATMI in order to receive their score prior to registration. Dates for the SATMI can be found at www.collegeboard.org. The MPT and CPT may be written only once. The CPT will be offered on the first Saturday in June. The CPT will also be offered the day before classes begin in Fall and Winter (St. John’s campus). The MPT will be administered on the day before classes begin for Fall semester, the first day of classes in Winter, and at the St. John's campus on the first day of classes in Spring.

For assistance with course selection, students should contact:

Academic Advising Centre, advice@mun.ca

** For students completing a Bachelor of Science (B.Sc.) with a major in mathematics or statistics**

**Sample program**

Fall Semester | Winter Semester |

Mathematics 1000 (or 1090* or 1001**) | Mathematics 1001 (or 1000* or 2000* and/or 2050**) |

Physics 1050 (or 1020)*** | Physics 1051 or Statistics 1510*** |

English 1090 | English 1191, 1192, 1193 or 1110 |

science elective | science elective |

elective | elective |

* Students completing Mathematics 1090/1000 are required to complete Mathematics 1001 as well.

** Pure mathematics majors may substitute another science elective in place of physics. Applied mathematics majors should take Physics 1051 in the Winter semester. Statistics majors should take Statistics 1510 in the Winter semester. Students registered in Physics 1050 must also be registered in Mathematics 1000 (not 1090). Students who complete Physics 1020 with at least 70 per cent should take Physics 1051. Otherwise, they should take Physics 1021 in the second semester.

- To be admitted to the major program, students must complete 30 credit hours which must include:
- six credit hours in English
- six credit hours in mathematics
- six credit hours in courses from each of two sciences other than mathematics
- Students should contact the Department of Mathematics upon completion of these courses to declare their major program.

For assistance with course selection, students should contact:

Academic Advising Centre, advice@mun.ca

### Contact information

For additional information please contact:

**St. John’s campus**Tara Stuckless, Undergraduate Officer

mathugrad@mun.ca

www.mun.ca/math

**Grenfell Campus**Jared Howell

jahowell@grenfell.mun.ca

www.grenfell.mun.ca/science/math