SRV 100 - Surveying Computations 1

Course Details
Course Code:
SURV 100


Calendar Description:
Introduction to surveying computations: units of measurements; plane trigonometry; solutions of right triangles and scalenes; coordinate systems; systems of defining directions of survey lines; angle measurements; bearing reductions; open traverses; computations and adjustments of closed traverses; inverse calculations; area computations by coordinate method; side shot calculations; bearing swing; location of an angular blunder or a linear blunder in closed traverses; missing (omitted) parts calculations.

Date First Offered:

Total Hours: 45
Lecture Hours: 1
Laboratory Hours: 2

Total Weeks:

This course is offered online:


Non-Course Pre-Requisites:


Rearticulation Submission:

Course Content:
Geometry Review
- Properties of triangles (scalene, isosceles, equilateral and right), circles, rectangles and cyclic quadrilaterals
- Trigonometric functions (sine, cosine and tangent) as applied to simple plane survey problems including trigonometric levelling
- Sine law, cosine law and Pythagoras’ Theorem as used in survey applications
- Definition of azimuths and bearings (full circle and quadrantal)
- Introduction of reductions from field observations
- Definition of polar and rectangular coordinate systems and the conversions from one to another

‘Open’ and ‘Closed’ Traverse Calculations
- Reductions of field angles (means) and slope distances (to horizontal distance)
- Introduction of the compass rule for the adjustment of different types of closed traverses; including a closed polygon with two fixed adjacent points, a polygon with a fixed bearing along a line (‘swing’ or rotation required) and between non intervisible starting and ending points each with a view along a line with a known fixed bearing.
- Coordinate cross multiplication for determining the area of a polygon (introduction of three ‘missing’ part problems: two missing distances, two missing bearings and one missing bearing combined with a missing distance.)

Introduction to Plane Surveying Computations
- Brief history of surveying
- Introduction to Imperial and Metric units of measurement
- Angles and their relationships in various types of rectilinear figures (closed polygons)
- Manual addition, subtraction, multiplication and division of angles ( i.e. without the aid of a calculator)

Trigonometric Functions
- Inverse functions
- Solutions of right triangles and scalenes
- Sine law and cosine law applications

Coordinate Systems
- Polar and rectangular
- Full-circle bearing and quadrantal bearing systems
- Bearing reduction process
- Conversion of one to the other and vice versa

Introduction to Concept of Traversing (Lab)

The Principle and Computation of Open Traverses
- Computation of departures ( ∆Xs or ∆Es) and latitudes (∆Ys or ∆Ns)
- Introduction to inverse calculations (Lab)

Computation of Closed Traverses and Adjustments of Traverses by the Compass Rule

Area Computation of Closed Figures by Coordinates (Lab)

Location and Angular Blunder or a Linear Blunder in a Closed Traverse (Lab)

Computations of Missing Parts in Closed Traverses

Continuation of Computations of Missing Parts of Closed Traverses or Land Parcels

Learning Outcomes:
Upon successful completion, the student will be able to:

- Perform calculations of right triangles and scalenes by various methods.
- Determine elevation differences by trigonometric leveling.
- Convert horizontal angles to full-circle bearings, i.e. bearing reductions.
- Compute rectangular coordinates from polar coordinates and vice versa.
- Perform computations of open traverses and apply bearing swing in specific cases.
- Perform computations of closed traverses and to adjust traverses by the Compass Rule.
- Compute areas of closed polygons using coordinates.
- Perform computations of missing parts in closed traverses/polygons

Grading System:

Passing Grade:
D (50%)

Grading Weight:
Final Exam: 30 %
Quizzes and Tests: 40 %
Assignments: 30 %

Percentage of Individual Work:

Course Offered in Other Programs:

Additional Comments:
Assignments: You must complete and hand in all assignments to pass the assignment component. Assignments are due on the date and time specified by your instructor. Late assignments submitted within 24 hours of the due date and time receive a 50% penalty of the total maximum assignment mark. After that assignments will not be accepted for marking and zero marks are assigned to them. Assignments must be done on an individual basis. The weekly two-hour lab time-slot is utilized for doing assignments. You must attend and make good use of the lab time.

Tests: Term Test 1=15%, Term Test 2=25%
Makeup Tests, Exam 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.

Ethics: NLC assumes that all students attending the institute will follow a high standard of ethics. Incidents of cheating or plagiarism may, therefore, result in a grade of zero for the assignment, quiz, test, exam, or project for all parties involved and/or expulsion from the course.
Attendance: Attendance in lectures and labs are mandatory. As much work as possible should be done during lab hours.

Illness: A doctor’s note is required for any illness causing you to miss assignments, quizzes, tests, projects, or exams. At the discretion of the instructor, you may complete the work missed or have the work prorated (i.e., an average is given according to your performance throughout the course).

Attempts: Students must successfully complete a course within a maximum of three 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 Dean. Students who have not successfully completed a course within three attempts will not be eligible to graduate from the appropriate program.

Course Outline Changes: The materials or schedule specified in this course outline may be changed by the instructor. If changes are required, they will be announced in class.

Required: Lecture Notes, Calculator - HP50g
Recommended: H or HB pencils, straight edge, set square and Douglas protractor

Other information:
Specify number of assignments: 5-7

Text Books:

Required - Wolf, P., 2005, Elementary Surveying: An Introduction to Geomatics, 11th Edition (Prentice-Hall)
Optional - Kavanagh, B.F., 2002, Geomatics, 1st Edition (Prentice-Hall)
Optional - Kavanagh, B.F., 2003, Surveying with Construction Applications, 5th Edition (Prentice-Hall)
Optional - McCormac, J., 2003, Surveying, 5th Edition (Prentice-Hall)
Optional - Kavanagh, B.F, 2005, Surveying: Principles and Applications, 7th Edition (Prentice-Hall)