The phrase "add a new course" is correct and usable in written English.
You can use it when referring to the process of including an additional course in a curriculum or educational program.
Example: "The university decided to add a new course on environmental science to its curriculum next semester."
Alternatives: "introduce a new course" or "incorporate a new course".
Students are showing an increased interest in creating video material, and the television department faculty has added a new course in television programming for the fall semester.
Within a year, the school added a new course that allowed students to explore how Haiti responded to the devastation of the quake and other chronic environmental problems.
First, my position was a newly created one rather than a replacement, meaning that there was a higher probability that there would be space in the overall faculty workload for adding a new course.
The University of Michigan has added a new course to the curriculum, one that may best be styled a course in love making.
As we digested this information with our cheese fries and chili dogs from Nathan's, the officer added that a new course had recently opened a few miles down the Belt Parkway and gave us directions.
He had originally intended to add a new hole to the course each year, but for now he has stalled at No. 13.
This week, for example, Golf Digest is adding a new golf course finder feature.
Expanding computer science in high schools takes more than adding a new AP course.
Innovation Co-Lab just added a new Python course.
Later in 2006, the government reformed the teacher education and added a new mandatory course called 'Christianity Studies/Life Enlightment/Citizenship' (Kristendomskundskab/Livsoplysning/Medborgerskab) with the purpose of securing that teachers know'the basic democratic values and Danish democracy, and are able to pass these values on to the school' (Folketinget, 2006).
